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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 the volume of the pyramid? Enter your answer in the box.

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person150752

Answer:

780 cubic cm.

Step-by-step explanation:

The formula for the volume of a pyramid is [tex]V = \frac{1}{3}Bh[/tex] where B is the area of the pyramid's base. B can be found by the formula for the area of a triangle:

[tex]A = \frac{1}{2}bh[/tex]

[tex]A = (\frac{1}{2})(15)(24) = 180[/tex]

Then, substitute that into the volume equation:

[tex]V = \frac{1}{3}(180)(13) = 780[/tex]

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