A right pyramid with a square base is shown. the length of the base is 8 inches and the slant height is 5 inches. kabir wants to know the volume of a solid right pyramid with a square base. he uses a ruler to measure the length of the base as 8 inches. he then measures the slant height to be 5 inches. the hypotenuse of the right triangle used to determine the height is inches. the leg of the right triangle that lies on the same plane as the base is inches. the height of the pyramid is inches. the volume of the solid pyramid is cubic inches.

Respuesta :

The volume of the given pyramid comes to be 64 cubic inches.

Length of the square base a= 8 inches

Slant height l =5 inches

What is the volume of a pyramid?

The volume of a pyramid is with base area A and height h is 1/3Ah.

So, base area A= 8*8 =64 square inches.

From Pythagoras theorem

[tex]l^{2} =(\frac{a}{2})^2 +h^{2}[/tex]

[tex]5^{2} =(\frac{8}{2})^2+h^{2}[/tex]

[tex]h=3[/tex] inches

So, volume of the pyramid = 1/3*A*h

=1/3*64*3

=64 cubic inches.

Hence, the volume of the given pyramid comes to be 64 cubic inches.

To get more about pyramids visit:

https://brainly.com/question/218706

Answer:

5, 4, 3, & 64

Step-by-step explanation:

i did it

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