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 rectangular pyramid is given by:
Volume = (1/3) * length * width * height
Given:
Length = 7 cm
Width = 9 cm
Volume = 231 cm³
Substituting the known values into the formula, we have:
231 = (1/3) * 7 * 9 * height
Simplifying:
231 = (21/3) * height
231 = 7 * height
Dividing both sides of the equation by 7:
231/7 = height
33 = height
The height of the pyramid is 33 cm.