Arectangular prism as a volume of 80 cubic inches. it has a length of 8 inches and a width of 5 in. what is the height of the rectangular prism

2 inches

The volume of a rectangular prism is length * width * height.

Substitute in the values to get 8 * 5 * height = 80.

Now, simplify to get 40 * height = 80.

Divide both sides of the equation by 40 to get height = 2.

This means the height of the rectangular prism is 2 inches.

A rectangular prism is a 3-dimensional shape; height, width, length. These three variables, when multiplied, will produce a volume for a rectangular prism. We are given everything we need but the height.

Given:

Volume, V = 80 in3

Length, L = 8in

Width, W = 5in.

Height, H = H in

8 inches * 5 inches * H inches = 80 inches3

40 inches2 * H inches = 80 inches 3

(divide each side by 40 inches2)

H inches = 2 inches.

The rectangular prism is 2 inches tall.

for this case we must apply distributive property to the following expression:

the distributive property states that:

then, when applying the property we have to multiply the -2 for each term within the parenthesis: