Compare the formulas to find the volume of a prism and a pyramid. Recall you want them to have the same base and volume. Look for a relation between their heights.
We want a prism and a pyramid with the same base and volume. That is, B_1=B_2 and V_1=V_2.
B_1=B_2 & (I) V_1=V_2 & (II) ⇒
B_1=B_2 B_1h_1 = 1/3B_2h_2
By substituting Equation (I) into Equation (II), we get a relation between the heights of the figures.
B_2h_1 = 1/3B_2h_2 ⇒
h_1 &= 1/3h_2
⇒ h_2 &= 3h_1
From the above, we get that the height of the pyramid must be three times the height of the prism. With that said, we can proceed to draw a prism and a pyramid with the same base and volume.
Keep in mind that the figures above are just a sample, so your answer may vary.
