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denis23 [38]
3 years ago
14

Find the volume of a pyramid with a square base, where the side length of the base is 14.1 feet and the height of the pyramid is

13.1 feet. Round your answer to the nearest 10th of a cubic foot.

Mathematics
2 answers:
Korolek [52]3 years ago
7 0

Answer:

= 868.1ft^3

Step-by-step explanation:

Volume of the square based pyramid = BH/3

B is the base area

H is the height of the pyramid

Base area = Length * Length

Base area = 14.1*14.1

BAse area = 198.81ft^2

Height = 13.1feet

Substitute

Volume = 198.81*13.1/3

Volume of the pyramid = 868.1ft^3

Hence the volume of a pyramid with the square base is 868.1ft^3

Effectus [21]3 years ago
6 0

Answer: 868.1 ft^3

Step-by-step explanation:

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Answer:

The volume of the given pyramid is 300 cm³

Step-by-step explanation:

The volume of a pyramid, V_{pyramid}, is given as follows;

V_{pyramid} = \dfrac{1}{3} \times Base \ area \times Height

The height of the pyramid = 12 cm

The side length of the square base of the pyramid = 5 cm

The base area of the pyramid polyhedron with square base = 5 cm × 5 cm = 25 cm²

Therefore, by substitution, we have;

V_{pyramid} = \dfrac{1}{3} \times 25 \ cm^2 \times 12 \ cm = 300 \ cm^3

The volume of the given pyramid, V = 300 cm³.

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