The volume of a box is 231 cubic inches. The width is 7 inches. The length is 8 inches more than the height. Find the missing dimensions.

Question

The volume of a box is 231 cubic inches. The width is 7 inches. The length is 8 inches more than the height. Find the missing dimensions.

Answer 1

231= Lwh=(8+h)7(h)=56h+7h^2

7h^2 +56h -231=0

(h-3)(7h+77)=0

h= 3 inch high

L= 8+3= 11 inches Long

3(7)(11)=231

another theoretical solution is

h=-11

L =-3

-11(-3)(7) = 231

but generally ignore negative lengths

unless for some reason they were used to indicate direction