To find the volume of a rectangular pyramid, you can use the formula:
\[ V = \frac{1}{3} \times \text{Base Area} \times \text{Height} \]
Where the Base Area (A) is calculated as:
\[ A = \text{length} \times \text{width} \]
In this case, the dimensions of the base are 12 inches and 20 inches.
First, calculate the base area:
\[ A = 12 , \text{in} \times 20 , \text{in} = 240 , \text{in}^2 \]
Next, use the height of the pyramid, which is given as 31 inches, to find the volume:
\[ V = \frac{1}{3} \times 240 , \text{in}^2 \times 31 , \text{in} \] \[ V = \frac{1}{3} \times 7440 , \text{in}^3 \] \[ V = 2480 , \text{in}^3 \]
Therefore, the volume of the "Caution Wet Floor" warning sign is 2480 in³.