# Real life examples of square base and triangular prism Primary 5 Third Term Lesson Notes Mathematics Week 5

** Subject : Mathematics **

Term : Third Term

Class :Primary 5

Week : Week 5

Topic : Properties and Real life examples of square base and triangular prism

Previous Lesson

### Learning Objectives:

- Understand the properties of cubes, cuboids, pyramids, square base, and triangular prisms.
- Identify real-life examples of cubes, cuboids, pyramids, square base, and triangular prisms.
- Differentiate between cubes, cuboids, pyramids, square base, and triangular prisms based on their properties.
- Apply knowledge of these shapes to solve related problems.

### Embedded Core Skills:

- Critical thinking and problem-solving.
- Visual perception and spatial reasoning.
- Classification and categorization.
- Communication and presentation skills

### Learning Materials:

- Visual aids (pictures or diagrams of cubes, cuboids, pyramids, square base, and triangular prisms).
- Real-life examples of cubes, cuboids, pyramids, square base, and triangular prisms (dice, shoebox, Great Pyramids of Giza, etc.).
- Whiteboard/Blackboard and markers/chalk.
- Worksheet handouts.
- Assessment sheets.

### Content

### Properties and Real life examples of square base and triangular prism

A square base is a geometric shape with four equal sides and four right angles. A triangular prism is a three-dimensional shape that has two triangular bases and three rectangular faces connecting them. Let’s discuss the properties and provide some real-life examples of both square base and triangular prism.

**Properties of a Square Base:**

- Side Length: All sides of a square base are equal in length.
- Angles: All angles of a square base are right angles (90 degrees).
- Perimeter: The perimeter of a square base is four times the length of its sides.
- Area: The area of a square base is the length of one side squared (side^2).

**Real-life examples of objects with a square base:**

- Cube: A cube is a three-dimensional object with six square faces. It is commonly found in dice, Rubik’s Cube, and building blocks.
- Boxes: Many boxes, such as storage containers, gift boxes, and cereal boxes, have a square base shape.
- Tables: Some tables, like square dining tables or coffee tables, have a square-shaped top.

**Properties of a Triangular Prism:**

- Bases: A triangular prism has two triangular bases, which are congruent and parallel.
- Faces: It has three rectangular faces connecting the bases.
- Height: The height of a triangular prism is the perpendicular distance between the bases.
- Volume: The volume of a triangular prism is calculated by multiplying the area of the base triangle by the height. Volume = (Base Area) x Height

**Real-life examples of objects shaped like a triangular prism:**

**Toblerone Chocolate Bar**: Toblerone, a popular Swiss chocolate brand, has a distinctive triangular prism shape with a triangular base and sloping rectangular faces.**Roof Design**: Some modern architectural designs incorporate triangular prism shapes for roofs, especially in contemporary or geometrically inspired buildings.**Prism Binoculars**: Binoculars often have a prism system inside, and some models use a triangular prism to redirect light and provide proper image orientation.

These are just a few examples of objects with square base and triangular prism shapes. These shapes are commonly found in various everyday objects, architectural structures, and geometric designs.

[mediator_tech]

Let’s start with the cube. A cube is a three-dimensional shape that has six equal square faces. Each face of a cube is identical in size, and all the angles are right angles. To help you understand better, think of a dice. A dice is a perfect example of a cube, where all its sides are equal squares. Can anyone give me an example of an object that resembles a cube?

Now let’s move on to the cuboid. A cuboid is also a three-dimensional shape, but it has six rectangular faces. Unlike a cube, the cuboid’s faces are not all equal. However, it still has right angles on all its corners. Think of a brick or a shoebox. They both have the shape of a cuboid. Can anyone think of another example of a cuboid-shaped object?

Finally, we have the pyramid. A pyramid is a three-dimensional shape that has a polygonal base and triangular faces that meet at a single point called the apex or vertex. Pyramids come in various shapes, such as triangular pyramids, square pyramids, or even pentagonal pyramids. The Great Pyramids in Egypt are some of the most famous examples of pyramids. Can anyone think of another example of a pyramid-shaped object?

To summarize:

- A cube has six equal square faces.
- A cuboid has six rectangular faces, and its opposite faces are equal.
- A pyramid has a polygonal base and triangular faces that meet at a single point.

Now, let’s do a quick activity. I’ll describe a shape, and you tell me if it’s a cube, cuboid, or pyramid.

- It has six square faces. (Cube)
- It has a rectangular base and rectangular faces. (Cuboid)
- It has a triangular base and triangular faces that meet at a single point. (Pyramid)

I hope you all have a clear understanding of cubes, cuboids, and pyramids now. Remember to keep an eye out for these shapes around you, as they are present in many objects in our daily lives

[mediator_tech]

Let’s start with the cube. The cube has several properties that make it unique.

- All faces of a cube are equal in size. This means that each face is a square, and all the sides of the square have the same length.
- All angles in a cube are right angles (90 degrees). This makes the cube a very rigid and stable shape.
- The cube has six faces, eight vertices (or corners), and twelve edges.

Now, let’s move on to the cuboid. The cuboid also has interesting properties:

- A cuboid has six faces, just like a cube, but its faces are rectangular, not square. This means that opposite faces of a cuboid are equal in size and shape.
- Like the cube, a cuboid also has eight vertices and twelve edges. However, the edges of a cuboid can have different lengths.
- The angles between the faces of a cuboid are right angles (90 degrees).

Lastly, we have the pyramid. The pyramid has its own unique set of properties:

- A pyramid has a polygonal base and triangular faces that meet at a single point called the apex or vertex.
- The base of a pyramid can have any polygonal shape, such as a triangle, square, pentagon, etc.
- The number of triangular faces a pyramid has depends on the number of sides in its base. For example, a square pyramid has four triangular faces.

Now, let’s look at some real-life examples of these shapes:

**Cube**:

- A Rubik’s Cube is a popular toy that is shaped like a cube. It has small colored squares on each face that you can rotate and mix up.
- Dice used in various board games are also cube-shaped. Each face of a die has different numbers on it.

**Cuboid**:

- A shoebox is a common example of a cuboid. It has a rectangular shape and is used to store and transport shoes.
- A rectangular brick is another example of a cuboid. Bricks are used in construction to build walls and buildings.

**Pyramid**:

- The Pyramids of Giza in Egypt are the most famous examples of pyramids. They have a square base and triangular faces that taper towards the apex.
- The Louvre Pyramid in Paris is a modern example. It has a glass structure with a square base and triangular faces

**Evaluation**

- A Cube has _____ faces, ______ vertices, and ______ edges. a) 4, 6, 8 b) 5, 8, 12 c) 6, 8, 12 d) 6, 4, 8
- All angles in a cube are ______ angles. a) obtuse b) acute c) right d) reflex
- A cuboid has ______ rectangular faces, ______ vertices, and ______ edges. a) 4, 8, 12 b) 6, 8, 12 c) 6, 4, 8 d) 5, 8, 12
- A pyramid has a polygonal ______ and triangular ______. a) apex, base b) base, apex c) vertex, base d) base, vertex
- The number of faces in a pyramid depends on the number of ______ in its base. a) vertices b) edges c) sides d) angles
- The angles between the faces of a cuboid are ______ angles. a) obtuse b) acute c) right d) reflex
- A Rubik’s Cube is an example of a ______. a) cube b) cuboid c) pyramid d) none of the above
- The Pyramids of Giza in Egypt have a ______ base. a) triangular b) square c) rectangular d) pentagonal
- A shoebox is an example of a ______. a) cube b) cuboid c) pyramid d) none of the above
- The Louvre Pyramid in Paris has a ______ base. a) triangular b) square c) rectangular d) pentagonal

Good morning, class! Today, we’re going to explore the properties and real-life examples of a specific shape called the square base and triangular prism. This shape is an interesting combination of a square base and triangular faces. Let’s dive into it!

A square base and triangular prism is a three-dimensional shape that has two identical triangular faces and three rectangular faces. The base of this prism is a square, which means it has four equal sides and four right angles. The other two faces are triangular, and they connect the corresponding sides of the square base.

To help you understand this shape better, let’s look at some real-life examples of square base and triangular prisms:

1. Tent: Many camping tents have a shape that resembles a square base and triangular prism. The base of the tent is often square, and the sides slope upward, forming triangular faces. This shape helps provide stability and ample space inside the tent.

2. Roof: The roofs of some houses or buildings can have a square base and triangular prism shape. The base of the roof is square, while the sides slope upwards to form triangular faces. This design is common in some traditional houses and even modern architectural styles.

3. Prism-shaped containers: Some containers, such as storage boxes or pencil cases, are designed in the shape of a square base and triangular prism. They have a rectangular body with a square base and triangular sides. These containers are often used to store various items and are easy to stack and organize.

Now, let’s discuss the properties of a square base and triangular prism:

1. The base of a square base and triangular prism is a square, meaning all four sides of the base are equal in length, and all angles are right angles (90 degrees).

2. The prism has two identical triangular faces that connect the corresponding sides of the square base. These triangular faces are congruent, meaning they have the same size and shape.

3. The remaining three faces of the prism are rectangles. The rectangular faces are perpendicular to the base and the triangular faces.

4. The prism has eight vertices (or corners) where the edges meet.

Remember, a square base and triangular prism combines the properties of a square and a triangle to form a unique three-dimensional shape. Understanding its properties and real-life examples can help us recognize and appreciate this shape in our surroundings.

### Worked Examples

Sure! Let’s go through some worked examples that demonstrate the properties and real-life examples of cubes, cuboids, and pyramids. We’ll solve each example step by step.

Example 1: Cube

Question: A small box-shaped toy has six equal square faces. What shape is it, and can you give an example of a real-life object that resembles it?

Solution:

The toy with six equal square faces is a cube. An example of a real-life object that resembles a cube is a Rubik’s Cube.

Example 2: Cuboid

Question: A rectangular storage container has six rectangular faces. Two opposite faces have the same dimensions. What shape is the container, and can you provide a real-life example of a similar object?

Solution:

The container with six rectangular faces, where opposite faces have the same dimensions, is a cuboid. An example of a real-life object that resembles a cuboid is a shoebox.

Example 3: Pyramid

Question: A structure with a square base and triangular faces that meet at a single point on top is called what? Can you provide a real-life example of such a structure?

Solution:

A structure with a square base and triangular faces that meet at a single point on top is called a pyramid. An example of a real-life pyramid is the Great Pyramids of Giza in Egypt.

Example 4: Cube and Cuboid Comparison

Question: What is the main difference between a cube and a cuboid in terms of their faces?

Solution:

The main difference between a cube and a cuboid lies in their faces. In a cube, all the faces are equal squares, while in a cuboid, the faces are rectangular, and opposite faces have the same dimensions.

Example 5: Identifying Shapes

Question: Which shape has a triangular base and triangular faces that meet at a single point? Can you provide a real-life example?

Solution:

The shape that has a triangular base and triangular faces meeting at a single point is a triangular pyramid or simply a pyramid. An example of a real-life triangular pyramid is the Louvre Pyramid in Paris.

I hope these worked examples have helped you understand the properties and real-life examples of cubes, cuboids, and pyramids more clearly. If you have any further questions or need additional examples, feel free to ask!

[mediator_tech]

Example 1: Cube

Question: A shape has six equal square faces, and all angles are right angles. Identify the shape and give an example of a real-life cube.

Solution:

The shape with six equal square faces and right angles is called a cube. An example of a real-life cube is a dice used in various board games.

Example 2: Cuboid

Question: A shape has six rectangular faces, and opposite faces have the same dimensions. Identify the shape and provide a real-life example of a cuboid.

Solution:

The shape with six rectangular faces, where opposite faces have the same dimensions, is called a cuboid. A shoebox is a common real-life example of a cuboid.

Example 3: Pyramid

Question: A shape has a polygonal base and triangular faces that meet at a single point called the apex. Identify the shape and give a real-life example of a pyramid.

Solution:

The shape with a polygonal base and triangular faces meeting at a single point is called a pyramid. The Pyramids of Giza in Egypt are famous real-life examples of pyramids.

Example 4: Cube and Cuboid Comparison

Question: How can you differentiate between a cube and a cuboid based on their faces?

Solution:

A cube has six equal square faces, while a cuboid has six rectangular faces. In a cube, all faces are the same size, whereas in a cuboid, opposite faces have the same dimensions but may differ from other faces.

Example 5: Identifying Shapes

Question: Which shape has a triangular base and triangular faces meeting at a single point? Can you provide a real-life example?

Solution:

The shape with a triangular base and triangular faces meeting at a single point is called a triangular pyramid or simply a pyramid. An example of a real-life pyramid is the Louvre Pyramid in Paris.

I hope these worked examples have helped you understand the properties and real-life examples of cubes, cuboids, and pyramids. If you have any more questions or need further clarification, feel free to ask!

Evaluation

1. A cube has _____ equal square faces.

a) 4

b) 5

c) 6

d) 8

2. All angles in a cube are _____ angles.

a) obtuse

b) acute

c) right

d) reflex

3. A cuboid has _____ rectangular faces.

a) 4

b) 6

c) 8

d) 10

4. A pyramid has a polygonal _____.

a) vertex

b) base

c) face

d) edge

5. The number of triangular faces in a pyramid depends on the number of _____ in its base.

a) vertices

b) edges

c) sides

d) angles

6. The faces of a cube are all _____.

a) squares

b) rectangles

c) triangles

d) pentagons

7. A shoebox is an example of a _____.

a) cube

b) cuboid

c) pyramid

d) sphere

8. The Great Pyramids of Giza are examples of _____.

a) cubes

b) cuboids

c) pyramids

d) cylinders

9. A rectangular brick is an example of a _____.

a) cube

b) cuboid

c) pyramid

d) cone

10. A square base and triangular prism has _____ triangular faces.

a) 1

b) 2

c) 3

d) 4

[mediator_tech]

### Lesson Plan Presentation: Properties and Real-life Examples of Cube, Cuboid, Pyramid, Square Base, and Triangular Prism

**Presentation**:

- Begin the lesson by engaging students in a discussion about shapes they have encountered in their daily lives. Ask them to share examples of objects that they think might be cubes, cuboids, pyramids, square base, or triangular prisms.
- Introduce the topic of cubes, cuboids, and pyramids, explaining their basic properties and characteristics. Use visual aids to illustrate the shapes and their key features.
- Provide definitions for each shape and explain the specific properties of cubes, cuboids, and pyramids (number of faces, angles, vertices, and edges).
- Show real-life examples of cubes, cuboids, and pyramids, such as dice, shoeboxes, and famous pyramids like the Great Pyramids of Giza. Discuss how these examples match the properties of the shapes.
- Transition to the topic of square base and triangular prisms. Define and explain their properties, emphasizing the presence of a square base and triangular faces.
- Present real-life examples of square base and triangular prisms, such as tent structures or roofs. Discuss how these examples demonstrate the properties of the shapes.
- Conduct a class activity where students categorize and classify various objects into cubes, cuboids, pyramids, square base, or triangular prisms based on their properties. This will reinforce their understanding of the shapes.
- Provide students with worksheets containing problems related to the properties and real-life examples of these shapes. Allow them to work individually or in pairs to solve the problems.
- Circulate the classroom, offering guidance and support as students work on the worksheet. Monitor their progress and provide feedback.
- Conclude the lesson by summarizing the key points discussed, emphasizing the properties and real-life examples of cubes, cuboids, pyramids, square base, and triangular prisms.
- Engage the students in a brief class discussion to assess their understanding of the topic. Encourage them to ask questions and clarify any doubts.
- Assign the assessment sheets to evaluate individual student performance.

[mediator_tech]

**Teacher’s Activities:**

- Introduce the topic and explain the properties of cubes, cuboids, pyramids, square base, and triangular prisms.
- Show visual aids and real-life examples to support the explanations.
- Facilitate class discussions and engage students in activities.
- Provide guidance and support during individual or group work.
- Monitor student progress and offer feedback.
- Summarize the lesson and assess student understanding through questions and discussions.

**Learners’ Activities:**

- Participate in class discussions and share their knowledge and ideas about shapes.
- Observe and analyze the visual aids and real-life examples of cubes, cuboids, pyramids, square base, and triangular prisms.
- Engage in class activities, such as categorizing objects into the different shapes based on their properties.
- Work individually or in pairs to solve problems on the worksheet related to the properties and real-life examples of these shapes.
- Seek clarification and ask questions when in doubt.
- Participate in the class discussion to demonstrate understanding of the topic.
- Complete the assessment sheets to evaluate individual performance.

[mediator_tech]

**Assessment**:

- Use the assessment sheets to evaluate students’ understanding of the topic.
- Assess their ability to identify and differentiate between cubes, cuboids, pyramids, square base, and triangular prisms based on their properties.
- Evaluate their comprehension of real-life examples of these shapes.
- Assess their problem-solving skills through the worksheet activities.

Evaluation Questions:

- What is the main difference between a cube and a cuboid in terms of their faces? a) Cube has square faces, while cuboid has rectangular faces. b) Cube has triangular faces, while cuboid has square faces. c) Cube has rectangular faces, while cuboid has triangular faces. d) Cube has equal-sized faces, while cuboid has unequal-sized faces.
- How many faces does a pyramid with a triangular base have? a) 4 b) 5 c) 6 d) 3
- Give an example of a real-life cube. a) Shoebox b) Tent c) Great Pyramids of Giza d) None of the above
- What shape has a polygonal base and triangular faces that meet at a single point? a) Cube b) Cuboid c) Pyramid d) Sphere
- Identify a real-life example of a square base and triangular prism. a) Dice b) Rubik’s Cube c) Roof d) None of the above
- How many rectangular faces does a cuboid have? a) 2 b) 4 c) 6 d) 8
- Which shape has six equal square faces? a) Cube b) Cuboid c) Pyramid d) Cylinder
- The Great Pyramids of Giza are examples of which shape? a) Cube b) Cuboid c) Pyramid d) Cylinder
- A shape with a triangular base and triangular faces meeting at a single point is called what? a) Cube b) Cuboid c) Pyramid d) Sphere
- What is the main property of a square base and triangular prism? a) It has a circular base. b) It has triangular faces. c) It has a square base and triangular faces. d) It has rectangular faces.

[mediator_tech]

Conclusion: In conclusion, this lesson provided an in-depth understanding of the properties and real-life examples of cubes, cuboids, pyramids, square base, and triangular prisms. Students learned about the specific characteristics, such as the number of faces, angles, vertices, and edges, that define each shape. They were able to identify real-life objects that resemble these shapes and categorize them accordingly. Through class discussions, activities, and assessments, students demonstrated their comprehension and problem-solving skills related to the topic.