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:

3rd option

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

Answer 2

The volume of the cylinder is equal to the volume of the square prism. Then the correct option is C.

What is Geometry?

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

A cylinder is a closed solid that has two parallel circular bases connected by a curved surface.

A rectangular prism is a closed solid that has two parallel rectangular bases connected by a rectangle surface.

A square prism and a cylinder have the same height (h).

The area of the cross-section of the square prism is 628 square units. Then the volume of the square prism will be

$\rm Volume = Area \times Height\\\\Volume = 628 \ h$

The area of the cross-section of the cylinder is 200π square units. Then the volume of the cylinder will be

$\rm Volume = Area \times Height\\\\Volume = 200 \pi h \\\\ Volume = 628.31 \approx 628 \ h$

Thus, the volume of the cylinder is equal to the volume of the square prism.

More about the geometry link is given below.

https://brainly.com/question/7558603