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 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.