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
The formula for the volume of a rectangular pyramid is V = (1/3) * length * width * height.
Given that the length is 7 cm, the width is 9 cm, and the volume is 231 cubic centimeters, we can substitute these values into the formula:
231 = (1/3) * 7 * 9 * height
To isolate the height, we can multiply both sides of the equation by 3:
3 * 231 = 7 * 9 * height
693 = 63 * height
To solve for height, we can divide both sides of the equation by 63:
height = 693 / 63
height = 11 cm
Therefore, the height of the pyramid is 11 cm.