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 volume of a rectangular pyramid is given by the formula V = (1/3) * base area * height.
First, we need to find the base area. The base of a rectangular pyramid is a rectangle, so we can calculate its area by multiplying the length and width.
Base area = length * width = 7 cm * 9 cm = 63 cm^2
Now, we can substitute the known values into the formula for volume and solve for height.
231 cm^3 = (1/3) * 63 cm^2 * height
Rearranging the equation, we have:
height = 231 cm^3 / ((1/3) * 63 cm^2)
height = 3 * 231 cm^3 / 63 cm^2
height = 693 cm^3 / 63 cm^2
height = 11 cm
Therefore, the height of the pyramid is 11 cm.