a kitchen sink is a rectangular prism with a length of 19 7/8 inches, a width of 14 3/4 inches, and height of 10 inches. Estimate the volume of the sink.

Respuesta :

Answer:

The volume of the sink is 2931.56 in².

Step-by-step explanation:

The formula for volume of rectangular prism is

[tex]V=l\times w\times h[/tex]

Where, l is length, w is width and h height.

It is given that the length of the rectangular prism is [tex]19\frac{7}{8}[/tex] inches, width of the prism is [tex]14\frac{3}{4}[/tex] inches and height is 10 inches.

The volume of the sink is

[tex]V=19\frac{7}{8}\times 14\frac{3}{4}\times 10[/tex]

[tex]V=\frac{159}{8}\times \frac{59}{4}\times 10[/tex]

[tex]V=\frac{46905}{16}=2931.5625\approx 2931.56[/tex]

Therefore the volume of the sink is 2931.56 in².