Question

A rectangular box has dimensions 4 ft by 5 ft by 2 ft. Increasing each dimension of the box by the same amount yields a new box with volume six times the old. Find how much each dimension of the original box was increased to create the new box. Round your answer to two decimal places.

Answer 1

(4+x)(5+x)(5+x) = 700

x^3 + 14x^2 + 65x + 100 = 700

x^3 + 14x^2 + 65x - 600 = 0

x = 4.225

rounding = 4.23

Explanation: