Wanderella Skimpole has a dish that is a right rectangular prism. Its width is 10 inches, and its length is 16 inches. If the volume of the dish is 1,120 in3 , what must be its height?

Respuesta :

Given:

Width of a rectangular prism = 10 inches

Length of the rectangular prism = 16 inches

Volume of the rectangular prism = 1,120 cubic inches

To find:

The height of the rectangular prism.

Solution:

We know that the volume of a rectangular prism is:

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

Where, l is length, w is width and h is height.

Putting [tex]l=10,w=16,V=1120[/tex] in the above formula, we get

[tex]1120=10\times 16\times h[/tex]

[tex]1120=160\times h[/tex]

[tex]\dfrac{1120}{160}=h[/tex]

[tex]7=h[/tex]

Therefore, the height of the rectangular prism is 7 inches.