Question

Fine da volume of rectangular pyramid dat has a base of 3 x 4in and a altitude of 6in and use proper units

Answer 1

The volume \( V \) of a rectangular pyramid can be calculated using the formula:

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

For a rectangular base, the base area \( A \) is given by:

\[
A = \text{length} \times \text{width}
\]

In this case, the base dimensions are 3 inches and 4 inches:

\[
A = 3 \, \text{in} \times 4 \, \text{in} = 12 \, \text{in}^2
\]

The height (altitude) of the pyramid is 6 inches. Now, we can substitute the values into the volume formula:

\[
V = \frac{1}{3} \times 12 \, \text{in}^2 \times 6 \, \text{in}
\]

Now, calculate it step-by-step:

1. Calculate the area times the height:
\[
12 \, \text{in}^2 \times 6 \, \text{in} = 72 \, \text{in}^3
\]

2. Now, calculate the volume:
\[
V = \frac{1}{3} \times 72 \, \text{in}^3 = 24 \, \text{in}^3
\]

Thus, the volume of the rectangular pyramid is:

\[
\boxed{24 \, \text{in}^3}
\]