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Question

The dimensions of a figure are multiplied by 3, how many times larger will the volume be? 

Answer 1

Volume is Length x Width x Height. (L x W x H)

if you triple each of the dimensions,

volume is now 3L x 3W x 3H = 27 (L x W x H)

Volume of second will be 27 times as much as the original

Answer 2

if ratio of old to new figure is a:b, then ratio of their volumes is a^3:b^3

Ratio of old to new figure here is 1:3, so the ratio of their volumes is 1:27