Question

the formula for the volume, v, of a pyramid is $v=\frac{1}{3}bh$, where b is the area of the base of the pyramid and h is the pyramids height. the base of the pyramid shown has a length of 9 m and a width of 8 m. the height of the pyramid is 12 m. what is the volume of the pyramid? a. 136 m³ b. 256 m³ c. 288 m³ d. 324 m³

Explanation:

Step1: Calculate base area

The base is a rectangle, so $B = 9\times8=72$ $m^{2}$.

Step2: Calculate volume

Use the volume formula $V=\frac{1}{3}Bh$. Substitute $B = 72$ and $h = 12$ into it. $V=\frac{1}{3}\times72\times12 = 288$ $m^{3}$.

Answer:

C. 288 $m^{3}$