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

1 answer

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