Question

explain the error. A student found the volume of a rectangular pyramid with a base area of 92 square meters and a height of 54 meters to be 4,968 cubic meters. explain and correct the error.

Answer 1

V = (L × W × H) / 3
A = L × W

Base area = 92 square meters
92 = L × W
W = (92) / L

Substitute W in the volume formula:

4968 = [ L × (92) / L × 54 ] / 3 ; where L will cancel out and will leave you
4968 = (92 × 54) / 3
4968 ≠ 4968 ÷ 3
4968 ≠ 1656

Therefor the volume provided should be 1656 cubic meters and not 4968 cubic meters