Question

A box has a rectangular base with a length of 3x+w and width of 2x-2, and the base has a perimeter of 60 centimeters. If the height of the box is x, what is the volume of the box?

Answer 1

P=2(L+W)
P=2(3x+2+2x-2)
60=2(5x)
60=10x
divide both sides by 10
6=x

V=LWH
V=LW6
V=(3(6)+2)(2(6)-2)(6)
V=(18+2)(12-2)(6)
V=(20)(10)(6)
V=1200


V=1200 cubic units