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
212 = 450
Determine which statement is true about the solutions to the equation
A.
The solutions are -15 and 15, but only 15 is a reasonable side length
B.
The solutions are -15 and 15 and both are reasonable side lengths,
C.
The solutions are -30 and 30 and both are reasonable side lengths.
D.
The solutions are 30 and 30 but only 30 is a reasonable side length

Answer 1

The solutions are -15 and 15 and both are reasonable side lengths.

Explanation:

Plato

Answer 2

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

Explanation:

Let

x ----> the length side of the square base in inches

we have

`2x^(2)=450`

Solve for x

Divide by 2 both sides

`x^(2)=450/2`

`x^(2)=225`

take square root both sides

`x=(+/-)√(225)`

`x=(+/-)15\ in`

therefore

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

Because the side length cannot be a negative number