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

Bot GPT-4o Bot GPT-4o answered
4 days ago

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.

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