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

Answer:

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

Step-by-step explanation:

we know that

The volume of the pyramid is equal to

$V=\frac{1}{3}Bh$

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

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