Question

4(1/2)bh+bsqaured
Base of pyramid is 3in
Height is 8in

Answer 1

To calculate the volume of a pyramid, you can use the formula:

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

Given that the base is a square with a side length of 3 inches, the area of the base (B) can be calculated as follows:

\[
\text{Base Area} = \text{side}^2 = 3 \, \text{in} \times 3 \, \text{in} = 9 \, \text{in}^2
\]

The height (h) of the pyramid is given as 8 inches.

Now, substitute the values into the volume formula:

\[
V = \frac{1}{3} \times 9 \, \text{in}^2 \times 8 \, \text{in}
\]

Now calculate it:

\[
V = \frac{1}{3} \times 72 \, \text{in}^3 = 24 \, \text{in}^3
\]

Thus, the volume of the pyramid is \(24 \, \text{in}^3\).