The volume of the given pyramid is 106.1 cubic foot.
To Find the Volume of a pyramid with a square base
Given:
The perimeter of the base is 15.8 feet
The base of the pyramid is square given of side say L .
Thus, from the formula of perimeter of square,
⇒ 4*L = 15.8 feet
∴ L = 3.95 feet
Now the base area of the pyramid is [tex]L^{2}[/tex] as it is a square .
∴ Base area = 3.95*3.95 square feet
= 15.6025 square foot
Now, formula for volume of the pyramid
= 1/3 * base area * height
⇒ Volume = 1/3 * 15.6025 * 20.4 cubic foot
∴ Volume = 106.097 cubic foot
Thus volume of the given pyramid is 106.1 cubic foot rounded off to nearest tenth.
To Learn how to calculate volume of a pyramid, refer:
- https://brainly.com/question/2427278
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