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Fittoniya [83]
2 years ago
9

A pyramid has a base that is a right triangle with legs measuring 15 cm and 24 cm. The height of the pyramid is 13 cm. What is t

he volume of the pyramid? Enter your answer in the box. cm³
Mathematics
1 answer:
DENIUS [597]2 years ago
3 0

Answer:

\boxed{780}\ cm^3

Step-by-step explanation:

The volume of a pyramid is given by the formula ...

  V = 1/3·B·h

where B represents the area of the base and h represents the height.

The area of a triangle is given by the formula ...

  A = 1/2·b·h

where b represents the length of the base of the triangle, and h represents the height of the triangle.

For a right triangle, the base and height can be taken to be the lengths of the two legs. Then we have

  A = 1/2·(15 cm)·(24 cm) = 180 cm²

The volume of the pyramid is then ...

  V = 1/3·(180 cm²)(13 cm) = 780 cm³

The volume of the pyramid is 780 cm³.

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