Question

What is the volume of the rectangular pyramid?

Length: 5 mm

Width: 8 mm

Height: 18 mm

Answer 1

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

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

The base area of a rectangular pyramid is given by:

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

For the given dimensions:

- Length = 5 mm
- Width = 8 mm
- Height = 18 mm

First, calculate the base area:

\[
\text{Base Area} = 5 \, \text{mm} \times 8 \, \text{mm} = 40 \, \text{mm}^2
\]

Now, use the base area to find the volume:

\[
V = \frac{1}{3} \times 40 \, \text{mm}^2 \times 18 \, \text{mm}
\]

\[
V = \frac{1}{3} \times 720 \, \text{mm}^3 = 240 \, \text{mm}^3
\]

Thus, the volume of the rectangular pyramid is

\[
\boxed{240 \, \text{mm}^3}
\]