Question

The base of a solid right pyramid is a square with an edge length of n units. The height of the pyramid is n − 1 units. Which expression represents the volume of the pyramid?

Answer 1

we know that

The volume of a pyramid is equal to

$V=\frac{1}{3} (area\ of\ the\ base)*heigth$

in this problem

$area\ of\ the\ base=n^{2}\ units^{2} \\ heigth=(n-1)\ units$

Substitute in the formula above

$V=\frac{1}{3} (n^{2})*(n-1)$

$V=\frac{1}{3} (n^{3}-n^{2} )\ units^{3}$

therefore

the answer is

The volume of the pyramid is equal to

$V=\frac{1}{3} (n^{3}-n^{2} )\ units^{3}$

Answer 2

1/3 n^2(n − 1) units3
 Hope this helps