A prism and a pyramid are side by side. they have the same height and same base are. the volume of the prism would be ? times the volume of the pyramid?

The volume of the prism is 3 times the volume of the cone

Step-by-step explanation:

step 1

we know that

The area of the prism is given by the formula

----> equation A

where

B is the area of the circular base

h is the height of the prism

step 2

The area of the cone is given by the formula

----> equation B

where

B is the area of the circular base

h is the height of the cone

In this problem we have that they have the same height and same base area

so

substitute equation A in equation B

solve for V_p

therefore

The volume of the prism is 3 times the volume of the cone

the answer is d. (1.2, -4.7) on edgn

hope this !