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Question

The volume of a rectangular prism is given to be 160 cu cm. Which of the following could be the dimensions of the prism?

A
2 cm, 4 cm, 5 cm
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B
2 cm, 5 cm, 8 cm
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C
3 cm, 5 cm, 10 cm
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D
4 cm, 4 cm, 10 cm
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Solution

The correct option is D 4 cm, 4 cm, 10 cm
Volume of a rectangular prism
= length × width × height

Given, volume = 160 cu cm.

length × width × height
= 160 cu cm

Let us find the product of dimensions for each option to see which one equals 160 cu cm.

2 cm × 4 cm × 5 cm = 40 cu cm

2 cm × 5 cm × 8 cm = 80 cu cm

3 cm × 5 cm × 10 cm = 150 cu cm

4 cm × 4 cm × 10 cm = 160 cu cm

Thus, the possible dimensions of the prism is 4 cm, 4 cm, 10 cm as the volume in that case equals the given volume of 160 cu cm.

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