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 = (lwh)/3, where l is the length, w is the width, and h is the height of the pyramid.
We are given that the length (l) is 7 cm, the width (w) is 9 cm, and the volume (V) is 231 cubic centimeters.
Substituting these values into the formula, we have 231 = (7 * 9 * h)/3.
Multiplying both sides of the equation by 3, we have 3 * 231 = 7 * 9 * h.
Simplifying, we get 693 = 63h.
Dividing both sides of the equation by 63, we have h = 693/63 = 11 cm.
Therefore, the height of the pyramid is 11 cm.