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

1 answer

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:

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