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 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 rearrange the formula to solve for the height. Plugging in these values, we have 231 = (1/3) * 7 * 9 * height, which simplifies to 693 = 63 * height. Dividing both sides by 63, we find that the height of the pyramid is 11 cm.
