Problema Solution
A large plywood box has a volume of 1008 ft3. Its length is 16 ft greater than its height, and its width is 9 ft less than its height. What are the dimensions of the box?
Answer provided by our tutors
let 'x' represent the height, x>0
its length is 16 ft greater than its height: x + 16
its width is 9 ft less than its height: x - 9
the box has a volume of 1008 ft^3 means:
x(x + 16)(x - 9) = 1008
by solving we find
x = 12 ft
click here to see the step by step solution of the equations:
the height is 12 ft
12 + 16 = 28 ft is the length
12 - 9 = 3 ft is the width.