Question

Brian purchased a rectangular-shaped granite countertop for the island in his kitchen. The granite slab measures

72 inches by 42 inches by 1.25 inches. If the density of granite is 170 pounds per cubic foot, how much does the

countertop weigh in pounds?



HELP ME PLEASE!!!

Answer 1

Answer:
`371.8\ \text{Pounds}`

Explanation:

Given

Dimensions of rectangular granite countertop is
`72* 42* 1.25\ in.^3`

Density of granite is
`\rho=170\ \text{Pounds per cubic ft}`

Volume of granite countertop

`\Rightarrow V=72* 42* 1.25\\\Rightarrow V=3780\ in.^3`

We know, 1 ft=12 inch

`\therefore V=2.187\ cm^3`

Weight of granite

`\Rightarrow m=\rho * V\\\Rightarrow m=170* 2.1875\\\Rightarrow m=371.8\ \text{Pounds}`