A rectangular has a length of 7 cm and a width of 9 cm. Its volume of 231 cubic centimeters. Use the formula 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 V = (1/3) * l * w * h, where V is the volume, l is the length, w is the width, and h is the height.
Given:
Length (l) = 7 cm
Width (w) = 9 cm
Volume (V) = 231 cubic cm
We need to find the height (h).
Using the formula:
231 = (1/3) * 7 * 9 * h
Simplifying:
231 = 21 * h
Dividing both sides by 21:
11 = h
Therefore, the height of the pyramid is 11 cm.