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What is the volume of this square pyramid?





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cm³



A square pyramid with base side labeled as 14 centimeters and height labeled as 24 centimeters. A right triangle formed inside the pyramid shares a common side with the height. The base of the triangle is labeled as 7 centimeters and the hypotenuse is labeled as 25 centimeters.

Respuesta :

calculista

Answer:

The volume of the square pyramid is [tex]1,568\ cm^{3}[/tex]

Step-by-step explanation:

The volume of the pyramid is equal to

[tex]V=\frac{1}{3}BH[/tex]

where

B is the area of the base of the pyramid

H is the height of the pyramid

In this problem we have

[tex]H=24\ cm[/tex]

Find the area of the base B

[tex]B=14^{2}= 196\ cm^{2}[/tex] ----> is the area of a square

substitute the values and find the volume

[tex]V=\frac{1}{3}(196)(24)=1,568\ cm^{3}[/tex]

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