Question
If a square based pyramid is 6 cm and 10. What would be the volume?
Answers
GPT-4o mini
To find the volume of a square-based pyramid, you can use the formula:
\[
V = \frac{1}{3} \times B \times h
\]
where \( V \) is the volume, \( B \) is the area of the base, and \( h \) is the height of the pyramid.
In this case, it seems you have a square base with a side length of 6 cm, and the height of the pyramid is 10 cm.
1. Calculate the area of the base \( B \):
\[
B = \text{side}^2 = 6 \, \text{cm} \times 6 \, \text{cm} = 36 \, \text{cm}^2
\]
2. Now, substitute \( B \) and \( h \) into the volume formula:
\[
V = \frac{1}{3} \times 36 \, \text{cm}^2 \times 10 \, \text{cm}
\]
3. Calculate \( V \):
\[
V = \frac{1}{3} \times 360 \, \text{cm}^3 = 120 \, \text{cm}^3
\]
Therefore, the volume of the pyramid is \( 120 \, \text{cm}^3 \).
\[
V = \frac{1}{3} \times B \times h
\]
where \( V \) is the volume, \( B \) is the area of the base, and \( h \) is the height of the pyramid.
In this case, it seems you have a square base with a side length of 6 cm, and the height of the pyramid is 10 cm.
1. Calculate the area of the base \( B \):
\[
B = \text{side}^2 = 6 \, \text{cm} \times 6 \, \text{cm} = 36 \, \text{cm}^2
\]
2. Now, substitute \( B \) and \( h \) into the volume formula:
\[
V = \frac{1}{3} \times 36 \, \text{cm}^2 \times 10 \, \text{cm}
\]
3. Calculate \( V \):
\[
V = \frac{1}{3} \times 360 \, \text{cm}^3 = 120 \, \text{cm}^3
\]
Therefore, the volume of the pyramid is \( 120 \, \text{cm}^3 \).