Question

What is the volume of a pyramid with measurements 10 cm length, 18 cm width, and 12 cm height?(1 point)
Responses

6,480 cm3
cm cubed

13.33 cm3
cm cubed

720 cm3
cm cubed

2,160 cm3

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 of the pyramid is a rectangle with a length of 10 cm and a width of 18 cm. First, we calculate the area of the base:

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

Now, we will use the height of the pyramid, which is 12 cm, to find the volume:

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

Calculating the volume gives:

\[
\text{Volume} = \frac{1}{3} \times 180 \times 12 = \frac{2160}{3} = 720 \, \text{cm}^3
\]

So, the volume of the pyramid is **720 cm³**.