Question

A prism with a base area of 5 ft² and a height of 10 ft is dilated by a factor of 65. What is the volume of the dilated prism? Enter your answer, as a decimal, in the box. Ft³.

Answer 1

The volume of dilated prism = 13,731,250 ft³

Dilation

Dilation means the changing of the size of the object without changing the shape. The size of the object may be increased or decreased based on the scale factor.

Given

DIlation (D) = 65, then

D² = 65² = 4225

A prism with a base area of 5 ft² and a height of 10 ft.

To find

The dilated volume.

How to find the volume of the dilated prism?

Dilated Area = D² x area

Dilated area = 4225 x 5

Dilated area = 21125 ft²

Dilated height = D x height

Dilated height = 65 x 10

Dilated height = 650 ft

The volume of dilated prism = dilated area x dilated height.

The volume of dilated prism = 21125 x 650

The volume of dilated prism = 13,731,250 ft³

The volume of the dilated prism is 13,731,250 ft³

More about the dilation link is given below.

https://brainly.com/question/2856466