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. (2 points)
The formula for the volume of a rectangular pyramid is given by V = (1/3) * base area * height.
Given that the length of the rectangular pyramid is 7 cm and the width is 9 cm, the base area is given by base area = length * width = 7 cm * 9 cm = 63 cm^2.
We are also given that the volume is 231 cubic centimeters.
Rearranging the formula, we have height = V / [(1/3) * base area].
Substituting the given values, we get height = 231 cm^3 / [(1/3) * 63 cm^2] = 231 cm^3 / (21 cm^2) = 11 cm.
Therefore, the height of the pyramid is 11 cm.