Question

Rachel has a box in the shape of a prism with a square base. The capacity of the box is 150 cubic inches. The height of the box (y) is 1 1/2 times the base length of the box (x). Find the approximate height and the length of the box.

Answer 1

V = s²h 

150 = s²h 
150 = s²(3/2)s 
(2/3)150 = s³ 
100 = s³ 
s = ∛100 (approx 4.642 in)