Question

find the volume of this rectangular pyramid. be sure to include the correct unit in your answer.

Explanation:

Step1: Find base - area

The base is a rectangle with length $l = 4$ yd and width $w=3$ yd. The area of the base $B$ is given by $B=l\times w$. So, $B = 4\times3=12$ yd².

Step2: Use volume formula

The volume formula for a pyramid is $V=\frac{1}{3}Bh$, where $B$ is the base - area and $h$ is the height. Here, $B = 12$ yd² and $h = 7$ yd. Then $V=\frac{1}{3}\times12\times7$.

Step3: Calculate volume

$\frac{1}{3}\times12\times7 = 4\times7=28$ yd³.

Answer:

28 yd³