A rectangular prism and a cylinder have the same height. The length of each side of the prism base is equal to the diameter of the cylinder. Which shape has a greater volume? Drag and drop the labels to explain your answer.

The rectangular prism has the greater volume

Step-by-step explanation:

Given

Prism:

Cylinder

Required

Shape with greater volume

The volume of a rectangular prism is:

So, we have:

The volume of a cylinder is:

Where

So, we have:

So:

So, we have:

Both expressions have the same factor but different coefficient

The expression with greater coefficient has the greater volume

So, the has the

Because:

she gotta workk that a 2

step-by-step explanation:

step-by-step explanation:

for volume, add base x height x width