Question

2.) Zhang is finding the height of a square pyramid with a base side length of 9, a width of 9, and a volume of 162. What is his error?
V=bwh
162=9^2 (h)
h=2
?

Answer 1

Answer:

h = 6 units

Zhang major error is that he did not express the formula for finding the volume of a square base pyramid properly well. The formula was suppose to be 1/3 × base area × height. He omitted the 1/3.

Step-by-step explanation:

The square base pyramid has a base length of 9  and width of 9 . It is a square base pyramid so definitely the length of the base will be equal. The volume of the square base pyramid is given as 162 .

The formula for the volume of a square base pyramid is represented as follows.

volume = 1/3Ah

where

A = base area

h = height

volume = 1/3Ah

Base area = L²

Base area = 9² = 81

volume = 162 units²

volume = 1/3 ×  81 × h

162 = 1/3 × 81 × h

162 = 27h

divide both sides by h

h = 162/27

h = 6 units

He omitted the 1/3 for the formula of the volume of a square base pyramid.