Question

what is the volume of this rectangular pyramid? 14.3 m 18.6 m 12 m cubic meters

Explanation:

Step1: Recall volume formula

The volume formula for a rectangular - pyramid is $V=\frac{1}{3}Bh$, where $B$ is the area of the base and $h$ is the height.

Step2: Calculate base area

The base is a rectangle with length $l = 18.6$ m and width $w = 12$ m. So, $B=l\times w=18.6\times12 = 223.2$ $m^{2}$.

Step3: Calculate volume

The height $h = 14.3$ m. Substitute $B = 223.2$ $m^{2}$ and $h = 14.3$ m into the volume formula: $V=\frac{1}{3}\times223.2\times14.3$. First, $\frac{1}{3}\times223.2 = 74.4$. Then, $74.4\times14.3=1063.92$ $m^{3}$.

Answer:

$1063.92$