Question

A pizza box is 2 inches high , sixteen and three fourths inches wide, and sixteen and three fourths inches long , what is the volume if the pizza box?

Answer 1

561 1/8 in³

Explanation:

Volume = length × width × height

= 16 3/4 × 16 3/4 × 2

= 67/4 × 67/4 × 2

= 4489/8

= 561 1/8 in³

Answer 2

561 1/8 inches cubed

Explanation:

The volume of a rectangular prism (the 3D shape of the pizza box) is denoted by:
`V=lwh`, where l is the length, w is the width, and h is the height.

Here, the length is "sixteen and three fourths inches" =
`16(3)/(4)`, the width is "sixteen and three fourths inches" =
`16(3)/(4)`, and the height is 2 inches. Plug these into the equation:

`V=lwh`

`V=(16(3)/(4))*(16(3)/(4))*2`

To make this easier, turn the mixed numbers into improper fractions:
`16(3)/(4) = (67)/(4)`. Now, we have:

`V=((67)/(4)) *((67)/(4))*2=(8978)/(16) =561(2)/(16) =561(1)/(8)` inches cubed.

Hope this helps!