Question

A square prism and a cylinder have the same height. The area of the cross-section of the square prism is 628 square units, and the area of the cross-section of the cylinder is 200π square units. Based on this information, which argument can be made?
The volume of the square prism is one third the volume of the cylinder. The volume of the square prism is half the volume of the cylinder.
The volume of the square prism is equal to the volume of the cylinder. The volume of the square prism is twice the volume of the cylinder.

Answer 1

Answer:

The volume of the square prism is equal to the volume of the cylinder.

Step-by-step explanation:

The volume of a prism is given by the following equation:

$Volume = base\ area * height$

The volume of a cylinder is also given by this equation.

The area of the cross-section of the prism is the same base area, and this is also valid for the cylinder.

So, if the cylinder and the prism have the same height, we can compare their cross-section area to know about their volumes.

Cross section of the prism: 628 units^2

Cross section of the cylinder: 200*pi = 628 units^2

They have the same cross-section area and the same height, so they also have the same volume.

So the correct argument is:

"The volume of the square prism is equal to the volume of the cylinder."