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? (1 point)
The volume of a rectangular pyramid can be calculated using the formula:
\(V = \frac{1}{3} \times \text{base area} \times \text{height}\)
Given that the base dimensions are 12 in. by 20 in. and the height is 31 in., the base area can be calculated as:
\( \text{Base Area} = \text{length} \times \text{width} = 12 \times 20 = 240 \text{ in}^2\)
Therefore, the volume of the rectangular pyramid is:
\(V = \frac{1}{3} \times 240 \times 31 = 240 \times 31 \div 3 = 2480 \text{ in}^3\)
Thus, the volume of the sign is 2480 cubic inches.