Volume of Cubes and Cuboid
- 2. Lesson Objective In this lesson, you will learn and understand: The concept of volume The Difference between Cube and Cuboid Finding the Volume of Cube and Cuboid
- 3. What is volume? The volume of a solid, cube or cuboid refers to the capacity of the solid or the amount of space inside the solid.
- 4. Volume of CUBE = LENGTH X LENGTH X LENGTH = X X = ³ LENGTH LENGTH LENGTH A Cube has 6 square faces. The length of each square face is equal .
- 5. The solid shown below is made up of twenty-seven 1-cm cubes. Find the volume of the solid. Method 1 Volume of one 1-cm cube = 1 x 1 x 1 cm ³ = 1 cm ³ Volume of twenty-seven 1 cm cubes = 27 x 1 cm ³ = 27 cm³ The volume of the cube is 27 cm³ Method 2 Volume of cube = 3 x 3 x 3 cm ³ = 27 cm ³ The volume of the cube is 27 cm³ 3 cm 3 cm 3 cm
- 6. Example 1 Volume of cube = x x = 5 x 5 x 5 = 125cm ³ 5 cm 5 cm 5 cm Find the volume of the cube.
- 7. Example 2 Volume of present = x x = 10 x 10 x 10 = 125cm ³ The present shown on the left is a present given to class 1T1 for winning the Cheer Competition. Find the volume of the present if it is a cube. 10 cm
- 8. Volume of CUBOID = LENGTH X BREADTH X HEIGHT = X X C U B O I D A cuboid also has 6 faces but NOT all the faces are equal Length Breadth Height
- 9. Example 3 Volume of cuboid = x x = 10 x 4 x 4 = 160cm ³ Find the volume of the cuboid shown below. 10cm 4cm 4cm
- 10. Volume of cuboid = x x = 7 x 5 x 15 = 525m ³ Example 4 7m 5m 15m
- 11. Practice Try these questions yourself. Make sure you solve the question first before proceeding... NEXT
- 12. Question 1 Volume of cube = x x = x x = cm ³ Find the volume of the following solid. 2 2 2 8 2cm 2cm 2cm
- 13. Question 2 Volume of cube = x x = x x = cm ³ Find the volume of the cube shown below. 6 6 6 216 6cm
- 14. Question 3 4 3 7 84 7m 4m 3m
- 15. Question 4 Volume of cuboid = x x = m ³ 11cm 7cm 6cm 11 7 6 462