A "Caution Wet Floor” warning sign is in the shape of a rectangular pyramid. It is 31 in. tall and has a base whose dimensions are 12 in. by 20 in. What is the volume of the sign?
To find the volume of the rectangular pyramid, we use the formula:
Volume = (1/3) * base area * height
First, find the base area:
Base area = length * width
Base area = 12 in * 20 in
Base area = 240 in^2
Now, plug the base area and height into the volume formula:
Volume = (1/3) * 240 in^2 * 31 in
Volume = (1/3) * 7440 in^3
Volume = 2480 in^3
Therefore, the volume of the "Caution Wet Floor" warning sign is 2480 cubic inches.