Question

Which expression represents the volume of the pyramid?

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.
o
n
(n − 1) units
O
? n(n - 1)2 units 3
{ n (n − 1) units
n?(n − 1) units
o
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Answer 1

`V=(1)/(3)(n^2)(n-1)\ units^3`

Explanation:

we know that

The volume of the pyramid is equal to

`V=(1)/(3)Bh`

where

B is the area of the base of pyramid

h is the height of the pyramid

Find the area of the base B

The area of the square base B is

`B=n^2\ units^2`

we have

`h=(n-1)\ units`

substitute the given values in the formula of volume

`V=(1)/(3)(n^2)(n-1)\ units^3`