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We have two boxes.

The dimensions of the smaller box are 'L', 'W', and 'H'. (Length, Width, and Height)

Its volume is V1 = (L x W x H).

The dimensions of the larger box are 3L, 3W, and 3H.

Its volume is V2 = (3L x 3W x 3H) = 27 x (L x W x H) = 27 x V1.

V2/V1 = 27.

We just demonstrated that volume is proportional to the cube of the linear dimensions. This is true for any solid.

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15y ago

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