Question

WHAT IS THE VOLUME OF THE PYRAMID? (its a rectangular pyramid)
long edge is 10 cm and short edge is 7 cm and height is 11 cm.

Answer 1

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

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

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

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

In your case, the length of the base is 10 cm, the width is 7 cm, and the height of the pyramid is 11 cm.

Calculating the base area:

\[
\text{Base Area} = 10\, \text{cm} \times 7\, \text{cm} = 70\, \text{cm}^2
\]

Now, substituting the base area and height into the volume formula:

\[
V = \frac{1}{3} \times 70\, \text{cm}^2 \times 11\, \text{cm}
\]

Calculating this:

\[
V = \frac{1}{3} \times 770\, \text{cm}^3 = \frac{770}{3}\, \text{cm}^3 \approx 256.67\, \text{cm}^3
\]

Therefore, the volume of the rectangular pyramid is approximately \( 256.67\, \text{cm}^3 \).