Question

The volume of a box with a rectangular base is 3072 cm3.the length of the side are in the ratio 1:2:3.calculate the length of the shortest side

Answer 1

The volume of the box is 3072 cm^3.
Getting the dimensions given the ratio 1:2:3, we can formulate the equation deriving it from the formula of the volume of the box:
Volume = l * w * h
Volume = 1x * 2x * 3x
3072 = 1x * 2x * 3x
3072 = 6x^3
x^3 = 512
x = cube root (512)
x = 8 cm
2x = 16 cm
3x = 24 cm

So the shortest side is 8cm.