Question

Hazel covered a box with felt. The dimensions of the box are shown in the figure below:

A rectangular prism is shown. The length of the rectangular prism is labeled as 11 inches, the height is labeled as 6 inches, and the width is labeled as 8 inches.

The felt costs 9¢ per square inch. She will only pay for the felt used to cover the box, even if there is waste or extra. How much money did Hazel spend on the felt?

Answer 1

`You\ must\ calculate\ the\ surface\ area\ of\ the\ box:\ A=2lw+2hw+2\\------------------------------\\l=11\ in;\ h=6\ in;\ w=8\ in\\\\therefore\\\\A=2(11\cdot8)+2(6\cdot8)+2(6\cdot11)=2(88)+2(48)+2(66)\\\\=176+96+132=\boxed{404\ (in^2)}\\\\costs:\ 404\cdot9\\ot c=3,636\\ot c=(3,636)/(100)\$=\boxed{36.36\$}`