Question

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

Explanation:

Step1: Find base - area formula

The base of the rectangular pyramid is a rectangle. The area formula for a rectangle is $A = l\times w$, where $l = 7$ cm and $w = 6$ cm.
$A=7\times6$

Step2: Calculate base - area

$A = 42$ $cm^{2}$

Step3: Recall volume formula

The volume formula for a pyramid is $V=\frac{1}{3}Ah$, where $A$ is the base - area and $h$ is the height. Here, assume the height is perpendicular to the base and we use the base - area we just found.
$V=\frac{1}{3}\times42\times6$

Step4: Calculate volume

$V = 84$ $cm^{3}$

Answer:

$84$ $cm^{3}$