The volume of a rectangular prism is 655.2 ft^3. If the base of the prism is 9 feet by 5.2 feet, find the height of the prism. Show all work.

Respuesta :

Answer:

The height of the rectangular prism is 14 feet .

Step-by-step explanation:

Formula

Volume of a rectangular prism = Length × Breadth × Height

As given

The volume of a rectangular prism is 655.2 ft³.

If the base of the prism is 9 feet by 5.2 feet .

This means

Length = 9 feet

Breadth = 5.2 feet

Put all the values in the formula

655.2 = 9 × 5.2 × Height

655.2 = 46.8 × Height

[tex]Height = \frac{655.2}{46.8}[/tex]

Height = 14 feet

Therefore the height of the rectangular prism is 14 feet .

The height of the rectangular prism is 14 feet.

What is a rectangular prism?

A rectangular prism is a three-dimensional shape. It has six faces, six sides and six vertices. It also known as a cuboid.

Volume = length x width x height

What is the height of the prism?

Height = Volume / (area of the prism)

Height = 655.2 (9 x 5.2)

Height = 655.2 / 46.8

Height = 14 feet

To learn more about rectangular prism, please check : https://brainly.com/question/25829717