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?

a. n(n − 1) units
b. 3n(n - 1) units
c. n^2(n − 1) units
d. (n^3 - n^2) / (n-1) units

Answer 1

The volume of the pyramid can be represented by the expression V = (n² * (n - 1))/3 units.

Step-by-step explanation:

The volume of a right pyramid with a square base is found by multiplying the area of the base by the height of the pyramid and dividing by 3. In this case, the area of the base is n² square units and the height is (n - 1) units. So, the volume of the pyramid can be represented by the expression:

V = (n² * (n - 1))/3 units