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A pyramid has a square base with side s. The height of the pyramid is that of its side. What is the expression for the volume of the pyramid?
V = 2s2

Respuesta :

meerkat18
The question is asking to state the expression for the volume of the pyramid base on the side of the pyramid, in my further research and calculation, I would say that the answer would be V= 1/2s^3. I hope you are satisfied with my answer and feel free to ask for more 

Answer:

[tex]\frac{1}{3} s^{3}[/tex]

Step-by-step explanation:

Volume of a pyramid = [tex]\frac{1}{3} *base area * height[/tex]

Given: A pyramid has a square base with side s. The height of the pyramid is that of its side.

Base area is a square.

Area of the square = s*s = [tex]s^{2}[/tex]

Height = s (the height of the pyramid is that of its side)

Now plug in base area = [tex]s^{2}[/tex] and height = s in the volume formula.

The volume of the pyramid = [tex]\frac{1}{3} *s^2 *s[/tex]

The volume of the pyramid = [tex]\frac{1}{3} s^{3}[/tex]

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