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# Volume of Cubes and Cuboid

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• 1.
• 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