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

6,480 cm3
cm cubed

720 cm3
cm cubed

13.33 cm3
cm cubed

Answer 1

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

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

The base area of a rectangular base is calculated as:

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

In this case, the measurements are:
- 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 height into the volume formula:

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

Calculating this gives:

\[
\text{Volume} = \frac{1}{3} \times 2160 \, \text{cm}^3 = 720 \, \text{cm}^3
\]

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