To find the volume of a square pyramid, you can use the formula:
\[ V = \frac{1}{3} B h \]
where \( V \) is the volume, \( B \) is the area of the base, and \( h \) is the height of the pyramid.
Given:
- The base of the square pyramid is 25 feet (side length).
- The height of the pyramid is 14 feet.
First, calculate the area of the base (\( B \)):
\[ B = \text{side length}^2 = 25^2 = 625 \, \text{square feet} \]
Next, use the volume formula:
\[ V = \frac{1}{3} B h = \frac{1}{3} \times 625 \times 14 \]
\[ V = \frac{1}{3} \times 8750 \]
\[ V = 2916.67 \, \text{cubic feet} \]
Your calculation should yield 2916.67 cubic feet as the volume, but this isn't one of the options given. There's a possibility of a mistake in the height or base dimensions provided, and re-evaluation is necessary to conform with provided values.
If still firm, double-check with given figures or associated question’s constraints for consistency.
9. Find the volume of the SQUARE pyramid 25ft by 14ft.
350 ft cubed
1353.05 ft cubed
1568 ft cubed
1633.33 ft cubed
1 answer