Question

What is the volume of a pyramid with measurements 10 cm length, 18 cm width, and 12 cm height?(1 point) Responses 2,160 cm3 cm cubed 720 cm3 cm cubed 13.33 cm3 cm cubed 6,480 cm3

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 base area can be calculated as:

\[
\text{Base Area} = \text{Length} \times \text{Width}
\]

Given:
- Length = 10 cm
- Width = 18 cm
- Height = 12 cm

First, calculate the base area:

\[
\text{Base Area} = 10 \, \text{cm} \times 18 \, \text{cm} = 180 \, \text{cm}^2
\]

Now, plug the base area and the height into the volume formula:

\[
V = \frac{1}{3} \times 180 \, \text{cm}^2 \times 12 \, \text{cm}
\]

\[
V = \frac{1}{3} \times 2160 \, \text{cm}^3
\]

\[
V = 720 \, \text{cm}^3
\]

So, the volume of the pyramid is \( 720 \, \text{cm}^3 \).

Thus, the answer is **720 cm³**.