A homeowner has decided to fill in his pool. The pool is rectangular and measures 20ft wide, 40ft long, and 5.5ft deep throughout. Each cubic yard of fill dirt cost $12. How much will it cost to fill the pool?

Respuesta :

The volume of the pool is

[tex]20ft\text{ }\times40ft\text{ }\times5.5ft=4400ft^3[/tex]

a cubic foot is 0.037 cubic yards.

thus

[tex]4400ft^{3^{}}^{}=4400\times0.037=162.8yd^3[/tex]

but a cubic yard of dirt costs $12, and we need 162.8 cubic yards.

that would cost

[tex]12\times162.8=\text{ \$1953.6}[/tex]