Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

value: 3 find the volume of the pyramid. 9 in 5 in 11 in a. 495 in³ b. …

Question

value: 3
find the volume of the pyramid.
9 in
5 in
11 in
a. 495 in³
b. 165 in³
c. 275 in³
d. 315 in³

Explanation:

Answer:

The volume formula for a pyramid is \(V=\frac{1}{3}Bh\), where \(B\) is the base - area and \(h\) is the height. The base is a rectangle with length \(l = 11\) in and width \(w = 5\) in, so \(B=l\times w=11\times5 = 55\) square - inches, and the height \(h = 9\) in. Then \(V=\frac{1}{3}\times55\times9=165\) in³. So the answer is b. 165 in³