# Volume (Prisms, cube and spheres)

**Week:- 6.**

**Subject Mathematics**

**Class : Basic 6 / Primary 6**

**Week : Week 6 **

**Topic: Volume (Prisms, cube and spheres)**

**Behavioral objectives :**

** At the end of the lesson the pupils should be able to:-**

**1. Identify different types of prism **

**2. Find the volume of prism **

**3. Calculate the volume of cube **

**4. Calculate the volume of spheres**

**Instructional material/Reference material**

**Online Materials****Scheme of work****Textbooks****Workbooks**

**Building Background /connection to prior knowledge :**

** Students are familiar with solid cube shapes that are in three dimensional eg ludo dice and Maggie cube which are examples of cubes**

**Content**

**VOLUME**

**A prism is a solid with a uniform cross section. The cross section is congruent and can be a square, rectangle, circle, triangle, etc. The cross section is cut parallel to the solid.**

**The end of the cross section is also called the base, which comprises of the length and width. The side that is vertical when the end is sitting on the**

**ground is called the height.**

**The volume of a prism is the area of its end or cross section times the height.**

**Volume of prism = Area of end or cross section × height.**

**Volume of a cube**

**The end is a square, but all the sides are equal. Volume of a cube = Area of the square × height**

**Volume of a cuboid**

**The end could either be a square or a rectangle.**

**Volume of a cuboid = Area of the square or rectangle × height.**

**Volume of a cylinder**

**The end is a circle. Volume of a cuboid = Area of the circle × the height of the cylinder. Volume of a sphere **

**Evaluation:- **

**Calculate the volume of each of these spheres.**

**1. Radius 5cm 2. Radius 3cm 3. Radius 6cm**

**4. Radius 10cm 5. Diameter 16cm 6. Diameter 8cm**

**7. Calculate the volume of a water melon whose radius is 10.5.**

**8. Find the volume of a football whose radius is 26cm.**

**9. The shot put has a radius of 8cm. Calculate its volume.**

**10. Find the volume of a sphere whose diameter is 14cm.**

**11. Calculate the volume of a sphere whose diameter is 56cm**