An illustration shows a rectangular pyramid with a length of 4 centimeters, a width of 3 centimeters, and a perpendicular height of 12 centimeters. The right and front faces are visible. Edges and faces that are not visible are indicated by dashed lines.
What is the volume of the rectangular pyramid?
To find the volume of a pyramid, you use the formula:
Volume = (1/3) * base area * height
First, we need to find the area of the base of the rectangular pyramid, which is a rectangle. The area of a rectangle is:
Area = length * width
Area = 4 cm * 3 cm
Area = 12 cm^2
Now, we can plug the values into the volume formula:
Volume = (1/3) * 12 cm^2 * 12 cm
Volume = (1/3) * 144 cm^3
Volume = 48 cm^3
So, the volume of the rectangular pyramid is 48 cubic centimeters.