Question

A brick is in the shape of a rectangular prism with a length of 8 inches, a width of 3.5 inches, and a height of 2 inches. The brick has a density of

2.7 grams per cubic centimeter. Find the mass of the brick to the nearest gram.
grams

Answer 1

The mass of brick is 2478 gram

Solution:

A brick is in the shape of a rectangular prism with a length of 8 inches, a width of 3.5 inches, and a height of 2 inches

Length = 8 inches

Width = 3.5 inches

Height = 2 inches

The volume of rectangular prism is given as:

`volume = length * width * height`

`volume = 8 * 3.5 * 2\\\\volume = 56`

Thus volume of brick is 56 cubic inches

Convert inches to centimeter

1 inch = 2.54 centimeter

Therefore,

56 cubic inches = 56 x 2.54 x 2.54 x 2.54 cubic centimeter

56 cubic inches = 917.676 cubic centimeter

Thus, we get,

volume = 917.676 cubic centimeter

The brick has a density of 2.7 grams per cubic centimeter

Density = 2.7 grams

The mass of brick is given by formula:

`mass = density * volume`

Substituting the values we get,

`mass = 2.7 * 917.676\\\\mass = 2477.724 \approx 2478`

Thus mass of brick is 2478 gram