Anna's bedroom is in the shape of a right rectangular prism. The floor has an area of 120 square feet. The walls are 8 feet high. What is the volume of Anna's bedroom?

Respuesta :

Answer:

[tex]V= 960\ ft^{3}[/tex]

Step-by-step explanation:

Given:

Anna's bedroom is in the shape of a right rectangular prism.

The floor has an area of 120 square feet.

And the walls are 8 feet high.

We need to find the volume of the Anna's bedroom.

We know that the volume of the right rectangular prism shown below.

[tex]V= l\times w\times h[/tex]

Where l = length of the base

w = width of the base

h = height of the right rectangular prism

We know the area of the floor of the rectangular prism [tex]A = l\times w[/tex]

So we write volume formula as

[tex]V= (l\times w)\times h[/tex]

[tex]V= A\times h[/tex]

Now we substitute area and height value of the bedroom in above equation.

[tex]V= 120\times 8[/tex]

[tex]V= 960\ ft^{3}[/tex]

Therefore the volume of the Anna's bedroom is [tex]960\ ft^{3}[/tex]

Ver imagen jitushashi56

The volume of Anna's bedroom is 960 feet³

A rectangular prism is a three-dimensional rectangle with six faces, twelve sides and six vertices.  

Volume of a rectangular prism = length x width x height

Volume = height x area of the base

Volume = 120 x 8 = 960 feet³

A similar question was solved here: brainly.com/question/12449923?referrer=searchResults