jmc

Question

A company makes a six-sided hollow aluminum container in the shape of a rectangular prism as shown. The container is

1 0^{^{''}}

by

1 0^{^{''}}

by

1 2^{^{''}}

. Aluminum costs

\

0.05$ per square inch. What is the cost, in dollars, of the aluminum used to make one container?

Accepted Answer

The amount of aluminum used is equal to the surface area of the container. The horizontal faces have area 1010=100 square inches. The vertical faces have area 1210=120 square inches. Thus, the total surface area is 2100+4120=680 square inches. Since aluminum costs 0.05 per square inch, the total cost is 6800.05=34 dollars.