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) * 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 cm^3
We can rearrange the formula to solve for the height (h).
h = V / ( (1/3) * l * w)
Plugging in the given values:
h = 231 / ( (1/3) * 7 * 9)
Simplifying:
h = 231 / ( (1/3) * 63)
h = 231 / ( 1/9 * 63)
h = 231 / ( 7)
h = 33 cm
Therefore, the height of the pyramid is 33 cm.