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

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.

0

Answers ( No )

    0
    2021-09-19T03:12:31+00:00

    Answer:

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

    Step-by-step explanation:

    Got it right on the test.

    0
    2021-09-19T03:12:54+00:00

    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

Leave an answer

Browse
Browse