Question
pyramid base of 8 mm x 5 mm center line 18
what is the volume of the rectangle pyramid
what is the volume of the rectangle pyramid
Answers
Answered by
GPT-4o mini
To find the volume of a rectangular pyramid, we use the formula:
\[
\text{Volume} = \frac{1}{3} \times \text{Base Area} \times \text{Height}
\]
1. **Calculate the Base Area**: The base of the pyramid is a rectangle with dimensions 8 mm and 5 mm.
\[
\text{Base Area} = \text{length} \times \text{width} = 8\, \text{mm} \times 5\, \text{mm} = 40\, \text{mm}^2
\]
2. **Height**: The height of the pyramid is given as 18 mm.
3. **Calculate the Volume**:
\[
\text{Volume} = \frac{1}{3} \times 40\, \text{mm}^2 \times 18\, \text{mm}
\]
\[
\text{Volume} = \frac{1}{3} \times 720\, \text{mm}^3 = 240\, \text{mm}^3
\]
Thus, the volume of the rectangular pyramid is \( 240 \, \text{mm}^3 \).
\[
\text{Volume} = \frac{1}{3} \times \text{Base Area} \times \text{Height}
\]
1. **Calculate the Base Area**: The base of the pyramid is a rectangle with dimensions 8 mm and 5 mm.
\[
\text{Base Area} = \text{length} \times \text{width} = 8\, \text{mm} \times 5\, \text{mm} = 40\, \text{mm}^2
\]
2. **Height**: The height of the pyramid is given as 18 mm.
3. **Calculate the Volume**:
\[
\text{Volume} = \frac{1}{3} \times 40\, \text{mm}^2 \times 18\, \text{mm}
\]
\[
\text{Volume} = \frac{1}{3} \times 720\, \text{mm}^3 = 240\, \text{mm}^3
\]
Thus, the volume of the rectangular pyramid is \( 240 \, \text{mm}^3 \).