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Understanding the problem
• Length of the wooden block = 6 cm
• Volume of the remaining wooden block after a small cube
is removed = 189 cm 3
• Find the length of the small cube. CHAPTER
6 cm
Devising a plan 3
• Volume of the wooden block = Cube of the length of its side
• Volume of the small cube
Volume of the Volume of the remaining
= –
wooden block wooden block Material:
• Length of the small cube Manila card
= Cube root of the volume of the small cube Task:
Design a closed box to fill
eight ping pong balls by
Implementing the using the least material.
strategy
Volume of the wooden block = 6 3
= 216 cm 3
Volume of the small cube
Reflection:
Volume of the Volume of the remaining
= – What is the shape of the
wooden block wooden block
box that saves the most
= 216 – 189 amount of material?
= 27 cm 3

3
Length of the small cube = 27
= 3 cm

Doing reflection
Volume of the small cube = 3 3 Think Smart
= 27 cm 3 Amira shapes a cuboid
measuring 5 cm, 2 cm
Volume of the wooden block = 27 + 189 and 5 cm from plasticine.
= 216 cm 3 How many identical

3
Thus, the length of the wooden block = 216 cuboids are needed to
= 6 cm form a big cube?

Self Practice 3.2g

1. Malik wants to make a cubic frame using a piece of wire with a length of 150 cm.

If the volume of the cube is 2 197 cm , is the length of the wire sufficient? Give a
3
reason for your answer.

67
Squares, Square Roots, Cubes and Cube Roots

03 TB Math F1.indd 67 11/10/16 12:10 PM