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

Verified Answer :

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:

\(\frac{1}{3} s^{3}\)

Step-by-step explanation:

Volume of a pyramid = \(\frac{1}{3} *base area * height\)

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 = \(s^{2}\)

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

Now plug in base area = \(s^{2}\) and height = s in the volume formula.

The volume of the pyramid = \(\frac{1}{3} *s^2 *s\)

The volume of the pyramid = \(\frac{1}{3} s^{3}\)