A cube A has side thrice as long as that of cube B ? What is the ratio of the volume of cube A to that of cube B?

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Solution

Let side of cube B= a
Then Volume = $a^{3}$
and side of cube A = 3a
Volume = $(3 a)^{3} = 3 a \times 3 a \times 3 a = 27 a^{3}$
$∴$ Ratio of volume's A and B = $27 a^{3} : a^{3}$
= 27:1

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A cube A has side thrice as long as that of cube B ? What is the ratio of the volume of cube A to that of cube B?

Let side of cube B= a Then Volume = a3 and side of cube A = 3a Volume = (3a)3=3a×3a×3a=27a3 ∴ Ratio of volume's A and B = 27a3:a3 = 27:1

Let side of cube B= a
Then Volume = $a^{3}$
and side of cube A = 3a
Volume = $(3 a)^{3} = 3 a \times 3 a \times 3 a = 27 a^{3}$
$∴$ Ratio of volume's A and B = $27 a^{3} : a^{3}$
= 27:1