Problema Solution
A rectangular box has dimensions 1 by 1 by 2 feet. If each dimension is increased by the same amount, how much should this amount be to create a new box with volume six times the old.
Answer provided by our tutors
volume = width * length * height
original volume: 1*1*2 = 2 ft^3
volume six times the original: 2 * 6 = 12 ft^3
let 'x' represent the amount each dimension is increased
we want to solve for 'x' in:
(1+x)(1+x)(2+x) = 12
solving for 'x' we have x=1
each dimension of the box should be increased by 1 foot