Question

Find the volume of a rectangular pyramid that has a base of
3 x 4 in and an altitude of 6 in. Use proper units.

Answer 1

To find the volume of a rectangular pyramid, you can use the formula:

\[
V = \frac{1}{3} \times \text{Base Area} \times \text{Height}
\]

1. **Calculate the base area**:
The base is a rectangle with dimensions 3 inches and 4 inches.

\[
\text{Base Area} = \text{Length} \times \text{Width} = 3 \, \text{in} \times 4 \, \text{in} = 12 \, \text{in}^2
\]

2. **Use the height**:
The altitude (height) of the pyramid is given as 6 inches.

3. **Substitute the base area and height into the volume formula**:

\[
V = \frac{1}{3} \times 12 \, \text{in}^2 \times 6 \, \text{in}
\]

4. **Calculate the volume**:

\[
V = \frac{1}{3} \times 72 \, \text{in}^3 = 24 \, \text{in}^3
\]

Thus, the volume of the rectangular pyramid is

\[
\boxed{24 \, \text{in}^3}
\]