Question

# Cube X has side of length 6 cm and cube Y has side of length 9 cm. Which of the two cubes would have smaller volume?

A
Cube X
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B
Cube Y
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C
Both the cubes have the same volume
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D
Cannot be compared
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Solution

## The correct option is A Cube XFor cube X: Side of cube =6 cm Volume of cube =side×side×side Volume of cube =6 cm×6 cm×6 cm =216 cm3 The volume of cube X is 216 cm3. For cube Y: Side of cube =9 cm Volume of cube =side×side×side Volume of cube =9 cm×9 cm×9 cm =729 cm3 The volume of cube Y is 729 cm3. As we know that, 216 cm3<729 cm3 we can say that the cube X has a smaller volume. Therefore, option (a.) is the correct answer.

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