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) write like a 8th grader
To find the height of the rectangular pyramid, we can use the formula for the volume of a pyramid, which is V = (1/3) * base area * height.
We are given that the length is 7 cm and the width is 9 cm, so the base area is 7 cm * 9 cm = 63 square cm.
We are also given that the volume is 231 cubic cm, so we can plug these values into the formula: 231 = (1/3) * 63 * height.
To solve for height, we can start by multiplying both sides of the equation by 3 to get rid of the fraction: 3 * 231 = 63 * height.
Simplifying, we have 693 = 63 * height.
To isolate height, we can divide both sides of the equation by 63: 693 / 63 = height.
Dividing, we find that the height is 11 cm.
Therefore, the height of the rectangular pyramid is 11 cm.