Garfield has designed a rectangular storage unit to hold large factory equipment. His scale

model has dimensions 1 m by 2 m by 4 m. In order to maintain the scale he needs to
increase each dimension by the same amount. By what amount should he increase each
dimension to produce an actual storage unit that is no more than 9 times the volume of his
scale model?

1 answer

the volume increases by the cube of the linear scale. So, he needs a scale factor of no more than

∛9 = 2.08