Question
The pyramids square base has an area of 60 meters squared and a height of 8 meters. Joao constructs a square-based pyramid. What is the volume of the pyramid?(1 point)The volume of the pyramid is cubic meters.
Answers
GPT-4o mini
To find the volume of a square-based pyramid, you can use the formula:
\[
\text{Volume} = \frac{1}{3} \times \text{Base Area} \times \text{Height}
\]
Given:
- Base Area = 60 m²
- Height = 8 m
Now, plug these values into the formula:
\[
\text{Volume} = \frac{1}{3} \times 60 \, \text{m}^2 \times 8 \, \text{m}
\]
Calculating this:
\[
\text{Volume} = \frac{1}{3} \times 480 \, \text{m}^3 = 160 \, \text{m}^3
\]
Therefore, the volume of the pyramid is **160 cubic meters**.
\[
\text{Volume} = \frac{1}{3} \times \text{Base Area} \times \text{Height}
\]
Given:
- Base Area = 60 m²
- Height = 8 m
Now, plug these values into the formula:
\[
\text{Volume} = \frac{1}{3} \times 60 \, \text{m}^2 \times 8 \, \text{m}
\]
Calculating this:
\[
\text{Volume} = \frac{1}{3} \times 480 \, \text{m}^3 = 160 \, \text{m}^3
\]
Therefore, the volume of the pyramid is **160 cubic meters**.