Question

Joao constructs a square-based pyramid. What is the volume of the pyramid? h 8m a=60m^2

Answer 1

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 \( 160 \, \text{m}^3 \).