Question

Volume of Pyramids Practice
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Question
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)
in.3

Answer 1

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**.