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)
make sure your calculations r correct
The formula for the volume of a rectangular pyramid is given by V = 1/3 * length * width * height, where V represents the volume.
We know that the length is 7 cm, the width is 9 cm, and the volume is 231 cubic centimeters.
Let's substitute these values into the formula and solve for the height:
231 = 1/3 * 7 * 9 * height
To isolate the height, we multiply both sides of the equation by 3:
231 * 3 = 1/3 * 7 * 9 * height * 3
693 = 7 * 9 * height
Now, divide both sides of the equation by (7 * 9):
693 / (7 * 9) = height
693 / 63 = height
Height = 11 cm
Therefore, the height of the rectangular pyramid is 11 cm.