Question

What is the volume of a pyramid that is 8 inches tall with a rectangular base that is 6 inches by 4 inches?(1 point)
Responses

576 cubic inches
576 cubic inches

192 cubic inches
192 cubic inches

Not enough information is given.
Not enough information is given.

64 cubic inches

Answer 1

The volume \( V \) of a pyramid can be calculated using the formula:

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

For a rectangular base, the area is given by:

\[
\text{Base Area} = \text{length} \times \text{width}
\]

In this case, the base dimensions are 6 inches and 4 inches:

\[
\text{Base Area} = 6 \, \text{inches} \times 4 \, \text{inches} = 24 \, \text{square inches}
\]

The height of the pyramid is 8 inches. Now we can calculate the volume:

\[
V = \frac{1}{3} \times 24 \, \text{square inches} \times 8 \, \text{inches}
\]
\[
V = \frac{1}{3} \times 192 \, \text{cubic inches}
\]
\[
V = 64 \, \text{cubic inches}
\]

Therefore, the volume of the pyramid is \( 64 \) cubic inches. The correct response is:

**64 cubic inches**