Respuesta :

Answer:

561 1/8 inches cubed

Step-by-step explanation:

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

Here, the length is "sixteen and three fourths inches" = [tex]16\frac{3}{4}[/tex], the width is "sixteen and three fourths inches" = [tex]16\frac{3}{4}[/tex], and the height is 2 inches. Plug these into the equation:

[tex]V=lwh[/tex]

[tex]V=(16\frac{3}{4})*(16\frac{3}{4})*2[/tex]

To make this easier, turn the mixed numbers into improper fractions: [tex]16\frac{3}{4} = \frac{67}{4}[/tex]. Now, we have:

[tex]V=(\frac{67}{4}) *(\frac{67}{4})*2=\frac{8978}{16} =561\frac{2}{16} =561\frac{1}{8}[/tex] inches cubed.

Hope this helps!

Answer:

561 1/8 in³

Step-by-step explanation:

Volume = length × width × height

= 16 3/4 × 16 3/4 × 2

= 67/4 × 67/4 × 2

= 4489/8

= 561 1/8 in³