Question

What is the volume of a pyramid with measurements 10 cm length, 18 cm width, and 12 cm height ?

Answer 1

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

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

For a rectangular base, the area of the base can be calculated as:

\[
\text{Base Area} = \text{Length} \times \text{Width}
\]

Given the measurements:
- Length = 10 cm
- Width = 18 cm
- Height = 12 cm

First, calculate the base area:

\[
\text{Base Area} = 10 \, \text{cm} \times 18 \, \text{cm} = 180 \, \text{cm}^2
\]

Now, use the base area to calculate the volume of the pyramid:

\[
\text{Volume} = \frac{1}{3} \times 180 \, \text{cm}^2 \times 12 \, \text{cm} = \frac{1}{3} \times 2160 \, \text{cm}^3 = 720 \, \text{cm}^3
\]

Thus, the volume of the pyramid is:

\[
\boxed{720 \, \text{cm}^3}
\]