Question

A square-based pyramid has a volume of 66 cubic units. If its height is 10 units, what is the area of the pyramid’s base?(1 point)
Responses

2,200 square units
2,200 square units

22 square units
22 square units

19.8 square units
19.8 square units

198 square units

Answer 1

To find the area of the base of a square-based pyramid, we can use the formula for the volume of a pyramid:

\[
V = \frac{1}{3} \times \text{Base Area} \times \text{Height}
\]

Given:
- Volume \( V = 66 \) cubic units
- Height \( h = 10 \) units

We can rearrange the formula to solve for the base area (\( A \)):

\[
A = \frac{3V}{h}
\]

Substituting the given values:

\[
A = \frac{3 \times 66}{10} = \frac{198}{10} = 19.8 \text{ square units}
\]

So, the area of the pyramid's base is **19.8 square units**.