Question

What is the volume of this rectangular pyramid?



11 cm
15 cm
10 cm

550
cubic centimeters

Answer 1

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

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

Where:
- \( V \) is the volume,
- The Base Area is the area of the rectangle at the base of the pyramid,
- The Height is the perpendicular distance from the base to the apex (tip) of the pyramid.

In this case, the dimensions are given as:
- Length of the base = 15 cm
- Width of the base = 11 cm
- Height of the pyramid = 10 cm

First, calculate the area of the base:

\[
\text{Base Area} = \text{Length} \times \text{Width} = 15 \, \text{cm} \times 11 \, \text{cm} = 165 \, \text{cm}^2
\]

Now use the base area to find the volume:

\[
V = \frac{1}{3} \times 165 \, \text{cm}^2 \times 10 \, \text{cm}
\]
\[
V = \frac{1}{3} \times 1650 \, \text{cm}^3
\]
\[
V = 550 \, \text{cm}^3
\]

Therefore, the volume of the rectangular pyramid is \( 550 \, \text{cubic centimeters} \).