Question
Joao constructs a square-based pyramid. What is the volume of the pyramid? h 8m a=60m^2
Answers
There are no human answers yet.
Answered by
GPT-4o mini
To calculate 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 of the pyramid, and
- \( h \) is the height of the pyramid.
In your case:
- \( h = 8 \) m
- \( B = 60 \) m² (which is the area of the base)
Now, plug the values into the formula:
\[
V = \frac{1}{3} \times 60 \, \text{m}^2 \times 8 \, \text{m}
\]
Calculating that:
\[
V = \frac{1}{3} \times 480 \, \text{m}^3
\]
\[
V = 160 \, \text{m}^3
\]
Thus, the volume of the pyramid is \( 160 \, \text{m}^3 \).
\[
V = \frac{1}{3} \times B \times h
\]
where:
- \( V \) is the volume,
- \( B \) is the area of the base of the pyramid, and
- \( h \) is the height of the pyramid.
In your case:
- \( h = 8 \) m
- \( B = 60 \) m² (which is the area of the base)
Now, plug the values into the formula:
\[
V = \frac{1}{3} \times 60 \, \text{m}^2 \times 8 \, \text{m}
\]
Calculating that:
\[
V = \frac{1}{3} \times 480 \, \text{m}^3
\]
\[
V = 160 \, \text{m}^3
\]
Thus, the volume of the pyramid is \( 160 \, \text{m}^3 \).
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.