Perpendicular 82488

For the volumes of a perpendicular prism and a pyramid with the same base and height:
A) the volumes are equal
B) the volume of a pyramid is three times smaller than the volume of a prism
C) the ratio of the volumes of the prism and the pyramid is 1:3
D) none of the previous answers apply

Correct answer:

x = B

Step-by-step explanation:

$$\begin{gathered} V_1=S\cdot h \\ {V}_2=\frac{1}{3}\cdot S\cdot h=\frac{1}{3}{V}_1 \\ {V}_2=V_1/3 \\ {V}_2:V_1=1:3 \\ x=B \end{gathered}$$

Try another example