Question

A pizza parlor uses square prisms for their pizza boxes. Due to the crust rising, the height of their boxes is always 2 inches. Additionally, the volume of the pizza box must be 450 cubic inches to fit their standard-sized pizza. A worker determined that the equation below could be used to find the side length, x, of the box needed to reach that volume.

Answer 1

We are to find the side length of the box

Volume = Length * Breadth * Height


Volume of box = 450 cubic inches

Height of box = 2 inches

Length of box = x

Since it is a square prism, Breadth = Length = x


Therefore,

Volume = Length * Breadth * Height

⇒ 450 = 2 * x * x

⇒ 450 = 2x²

⇒ 2x² = 450


Divide the equation by 2

2x²/2 = 450/2

x² = 225

⇒√x² = √225

x = 15

The side length of the box is 15 inches

Answer 2

The solutions are -15 and 15, but only 15 is a reasonable side length.

Explanation:

Got it right on the test.