Question
What is the volume of rectangular pyramid with base 4 yd,3 yd and height 2 yd
Answers
GPT-4o mini
To find the volume of a rectangular pyramid, you can use the formula:
\[
\text{Volume} = \frac{1}{3} \times \text{Base Area} \times \text{Height}
\]
First, calculate the base area of the rectangular base. The base area \( A \) is given by:
\[
A = \text{length} \times \text{width} = 4 \, \text{yd} \times 3 \, \text{yd} = 12 \, \text{yd}^2
\]
Now, plug the base area and the height into the volume formula:
\[
\text{Volume} = \frac{1}{3} \times 12 \, \text{yd}^2 \times 2 \, \text{yd}
\]
Calculating this gives:
\[
\text{Volume} = \frac{1}{3} \times 24 \, \text{yd}^3 = 8 \, \text{yd}^3
\]
Therefore, the volume of the rectangular pyramid is \( 8 \, \text{yd}^3 \).
\[
\text{Volume} = \frac{1}{3} \times \text{Base Area} \times \text{Height}
\]
First, calculate the base area of the rectangular base. The base area \( A \) is given by:
\[
A = \text{length} \times \text{width} = 4 \, \text{yd} \times 3 \, \text{yd} = 12 \, \text{yd}^2
\]
Now, plug the base area and the height into the volume formula:
\[
\text{Volume} = \frac{1}{3} \times 12 \, \text{yd}^2 \times 2 \, \text{yd}
\]
Calculating this gives:
\[
\text{Volume} = \frac{1}{3} \times 24 \, \text{yd}^3 = 8 \, \text{yd}^3
\]
Therefore, the volume of the rectangular pyramid is \( 8 \, \text{yd}^3 \).