Question

find volume of rectangular pyramid with length of 30cm width of 20cm and altitude of 40cm units needed

Answer 1

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

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

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

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

Given the dimensions:
- Length = 30 cm
- Width = 20 cm
- Height (Altitude) = 40 cm

1. Calculate the Base Area:
\[
\text{Base Area} = 30 \, \text{cm} \times 20 \, \text{cm} = 600 \, \text{cm}^2
\]

2. Now calculate the Volume \(V\):
\[
V = \frac{1}{3} \times 600 \, \text{cm}^2 \times 40 \, \text{cm}
\]
\[
V = \frac{1}{3} \times 24000 \, \text{cm}^3
\]
\[
V = 8000 \, \text{cm}^3
\]

Thus, the volume of the rectangular pyramid is **8000 cm³**.