Explain the following text primarily based on the surrounding page content: 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 in four sentences without using too many complicated symbols

1 answer

To find the height of the rectangular pyramid, we start with the formula for the volume of a pyramid, which is one-third of the base area multiplied by the height. The base area of this pyramid can be calculated by multiplying the length (7 cm) and the width (9 cm), resulting in 63 square centimeters. Given that the volume is 231 cubic centimeters, we can set up the equation: 231 = (1/3) x 63 x height. By solving for the height, we multiply both sides by 3 to get 693, and then divide by 63, which gives us a height of 11 cm.