Question

Monticello, located in Charlottesville, was the home to Thomas Jefferson. The entrance hall in Monticello is shaped like a rectangular prism with the approximate dimensions shown.

How would the volume of the entrance hall change if the height of this room is doubled?

A It would be half the original volume.

B It would be doubled the original volume.

C It would be doubled the original volume.

D It would be triple the original volume.

Answer 1

C: It would be double the original volume.

Explanation:

The volume of a rectangular prism is given by the formula:

Volume = length × width × height

If the height of the rectangular prism is doubled, then the new volume would be:

New volume = length × width × (2 × height)

= 2 × (length × width × height)

= 2 × (original volume)

Therefore, if the height of the entrance hall is doubled, the new volume would be double the original volume.

So the answer is option C: It would be double the original volume.