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 112 times the base length of the box (x). Find the approximate height and the length of the box.

Answer 1

`V=150 \\y=112x \\ \\V=x^2y \\150=x^2112x \\150=112x^3 \\x^3= (150)/(112) \\x= \sqrt[3]{(150)/(112) } \\x \approx 1.1 \\ \\y=112x=112 * 1.1=123.2`