Question

Lou has a solid clay brick in the shape of a rectangular prism with a length of 8 inches, a width of 3.5 inches, and a height of 2.25 inches. If the clay weighs 1.055 ounces per cubic inch, how much does Lou's brick weigh, to the nearest ounce?

Answer 1

The weight of solid clay brick is 66.465 ounces, if solid brick with a length of 8 inches, a width of 3.5 inches, and a height of 2.25 inches and the clay weighs 1.055 ounces per cubic inch.

Explanation:

The given is,

A solid clay brick in the shape of a rectangular prism.

A length of 8 inches, a width of 3.5 inches, and a height of 2.25 inches.

The clay weighs 1.055 ounces per cubic

Step:1

Formula for volume of rectangular prism,

`Volume, V= whl`...................(1)

Where, w - Width of the rectangular prism

h - Height of rectangular prism

l - Length of rectangular prism

From the given,

w = 3.5 inches

h = 2.25 inches

l = 8 inches

Equation (1) becomes,

`= (3.5)(2.25)(8)`

`= (7.875)(8)`

`= 63`

Volume, V = 63 cubic inches

Step:2

Weight of brick = Volume of brick × Weight per cubic inch

`= (63) (1.055)`

= 66.465 ounces

Weight of brick = 66.465 ounces

Result:

The weight of solid clay brick is 66.465 ounces, if solid brick with a length of 8 inches, a width of 3.5 inches, and a height of 2.25 inches and the clay weighs 1.055 ounces per cubic inch.