Question

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

13.33 cm3
cm cubed

2,160 cm3
cm cubed

6,480 cm3
cm cubed

720 cm3

Answer 1

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

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

In this case, the base area is calculated using the length and width of the pyramid:

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

Now, using the height of the pyramid, which is 12 cm:

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

Calculating this:

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

Therefore, the correct response is **720 cm³**.