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A pyramid has a base that is a right triangle with legs measuring 10 cm and 14 cm. The height of the pyramid is 9 cm.

The volume of the pyramid is ___ cubic cm.


Sagot :

Answer:

[tex]V=210\ cm^3[/tex]

Step-by-step explanation:

The legs measuring 10 cm and 14 cm.

The height of the pyramid is 9 cm.

We need to find the volume of the pyramid. The formula for the volume of a right pyramid is given by :

[tex]V=\dfrac{1}{3}Bh[/tex]

Where

B is area of base,

[tex]B=\dfrac{1}{2}\times 10\times 14=70\ cm^2[/tex]

Put all the values,

[tex]V=\dfrac{1}{3}\times 70\times 9\\\\V=210\ cm^3[/tex]

So, the volume of the right pyramid is equal to [tex]210\ cm^3[/tex].