Question

Find volume of rectangular pyramid with length of 30cm, width of 20cm and altitude of 49cm

Answer 1

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

\[
V = \frac{1}{3} \times B \times h
\]

where:
- \( V \) is the volume,
- \( B \) is the area of the base,
- \( h \) is the height (altitude).

For a rectangular base, the area \( B \) can be calculated as:

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

In this case, the length is 30 cm and the width is 20 cm, so:

\[
B = 30 \, \text{cm} \times 20 \, \text{cm} = 600 \, \text{cm}^2
\]

Now, using the height \( h = 49 \, \text{cm} \), we can substitute the values into the volume formula:

\[
V = \frac{1}{3} \times 600 \, \text{cm}^2 \times 49 \, \text{cm}
\]

Calculating that:

\[
V = \frac{1}{3} \times 600 \times 49
\]

\[
V = 200 \times 49 = 9800 \, \text{cm}^3
\]

Thus, the volume of the rectangular pyramid is:

\[
\boxed{9800 \, \text{cm}^3}
\]