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????

Answer 1

To find the volume of the rectangular pyramid sign, we first need to calculate the volume of the rectangular prism base and then divide it by 3, as the volume of a pyramid is 1/3 times the volume of its base.

Volume of the rectangular prism base:
Volume = length x width x height
Volume = 12 in. x 20 in. x 31 in.
Volume = 7440 cubic inches

Now, calculate the volume of the pyramid:
Volume = 1/3 x base area x height
Base area = length x width
Base area = 12 in. x 20 in.
Base area = 240 square inches

Volume = 1/3 x 240 sq. in. x 31 in.
Volume = 1/3 x 7440 cubic inches
Volume = 2480 cubic inches

Therefore, the volume of the "Caution Wet Floor” warning sign in the shape of a rectangular pyramid is 2480 cubic inches.