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
2,160 cm3
cm cubed
720 cm3
cm cubed
13.33 cm3
Responses
6,480 cm3
cm cubed
2,160 cm3
cm cubed
720 cm3
cm cubed
13.33 cm3
Answers
GPT-4o mini
To find the volume of a pyramid, you can use the formula:
\[
\text{Volume} = \frac{1}{3} \times \text{Base Area} \times \text{Height}
\]
For a rectangular base, the base area (A) is calculated as:
\[
A = \text{Length} \times \text{Width} = 10 \, \text{cm} \times 18 \, \text{cm} = 180 \, \text{cm}^2
\]
Now, using the height (H = 12 cm):
\[
\text{Volume} = \frac{1}{3} \times 180 \, \text{cm}^2 \times 12 \, \text{cm} = \frac{1}{3} \times 2160 \, \text{cm}^3 = 720 \, \text{cm}^3
\]
So, the volume of the pyramid is **720 cm³**.
\[
\text{Volume} = \frac{1}{3} \times \text{Base Area} \times \text{Height}
\]
For a rectangular base, the base area (A) is calculated as:
\[
A = \text{Length} \times \text{Width} = 10 \, \text{cm} \times 18 \, \text{cm} = 180 \, \text{cm}^2
\]
Now, using the height (H = 12 cm):
\[
\text{Volume} = \frac{1}{3} \times 180 \, \text{cm}^2 \times 12 \, \text{cm} = \frac{1}{3} \times 2160 \, \text{cm}^3 = 720 \, \text{cm}^3
\]
So, the volume of the pyramid is **720 cm³**.