Story problem in algebra 2

Question

A pizza box’s dimensions are such that the width is 5 times the height and the length is 10 times the height. Find the dimensions if the total volume of the pizza box is 1,350 cubic inches

Answer 1

h=height

5h=width

10h=length

V=lwh

1350=h(5h)(10h)

1350=50h^3

27=h^3

h=(27)^(1/3)

h=3 inches

width=15 inches

length=30 inches

check: 3*15*30=45*30=1350