Question

A rectangular pyramid has a length of 7 cm and a width of 9 cm. Its volume is 231 cubic centimeters. Use the formula for the volume of a pyramid to calculate the height of this pyramid. Show all your work. keep it short and simple

Answer 1

Volume formula: V = (1/3)·(base area)·h.

Base area = length·width = 7·9 = 63 cm².

Given V = 231 cm³:
231 = (1/3)·63·h
Multiply both sides by 3: 693 = 63h
Divide by 63: h = 693/63 = 11 cm

Height = 11 cm.