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.
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.