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 \( A \) is given by:

\[
A = \text{length} \times \text{width}
\]

Using the given measurements:

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

First, calculate the base area:

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

Now, substitute this area and the height into the volume formula:

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

Calculating this gives:

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

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