# maths

A box of height 8cm has a volume of 320cm cube.What is the volume of a similar box of height 6cm

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1. 320*6=1920

1920/8=240cm^3

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posted by Jackie
2. The volume of 2 similar objects is proportional to the cube of its linear sides

320/x = 8^3/6^3
512x = 69120
x = 69120/512 = 135

or

the side ratio is 6/8 = 3/4

old volume = 8(l)(w) = 320
lw = 40

new volume = 6(3l/4)(3w/4) = 54/16 lw
= (54/16)(40)
= 135

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posted by Reiny

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