Question

find the volume of the pyramid. 9 in 5 in 11 in a. 495 in³ b. 165 in³ c. 275 in³ d. 315 in³ #3/6 <prev next>

Explanation:

Step1: Find base - area formula

The base is a rectangle with length $l = 11$ in and width $w=5$ in. The area of a rectangle $A_{base}=l\times w$.

Step2: Calculate base - area

$A_{base}=11\times5 = 55$ in².

Step3: Recall volume formula for pyramid

The volume formula for a pyramid is $V=\frac{1}{3}A_{base}h$, where $h$ is the height of the pyramid. Here, $h = 9$ in.

Step4: Calculate volume

$V=\frac{1}{3}\times55\times9=\frac{495}{3}=165$ in³.

Answer:

B. 165 in³