# maths

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A water tank is in the shape of a cubiod 2m high, 3m wide and 4m long. A similar tank is 1.2m high. Calculate the width and length of the smaller tank

• maths -

The corresponding dimensions of the similar tank are:
2x, 3x, and 4x
volume = 24x^3 = 1.2 = 12/10 or 24/20
x^3 = 1/20
x = (1/20)^(1/3) , (the cube root of 1/20

sides are 2/20^(1/3) or appr .7368
3/.... = appr 1.1052
and appr 1.4736

check: (.7368)(1.1052)(1.4736) = 1.199969..

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