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3.2 Cubes and Cube Roots

What are cubes and perfect cubes? LEARNING
STANDARDS
5 Pair Explain the meaning of
cubes and perfect cubes.

Aim: To explore the formation of cubes.
CHAPTER
3 Instruction: Perform the activity in pairs.
1. The diagram shows three cubes which are made up of unit cubes. Observe the
three cubes shown.

The number of unit
cubes in a cube is the
volume of the cube.

2. Copy and complete the table below.
Length of the sides of Volume of the cube in the form Number of unit cubes
3
a cube (unit) of repeated multiplication (unit ) (unit )
3
1 1 × 1 × 1

3. Discuss with your friends and write the relationship between the number of
unit cubes and the length of the sides of the cube.

From the results of Exploration Activity 5, it is found that a cube with
a side length of (unit) 1, 2, 3, …
has a number of unit cubes of (unit ) 1, 8, 27, …
3
For example, for a cube with a side length of 2 units,
number of unit cubes = 2 × 2 × 2
= 8 unit 3
We can state that the cube of 2 is 8. 2 is read as ‘two cubed’
3
The cube of 2 is written as 2 . or ‘cube of two’.
3
3
Thus, we write 2 = 8.

58
Chapter 3

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