Which expression represents the volume of the pyramid? One-thirdn(n − 1) units3 One-thirdn(n − 1)2 units3 One-thirdn2(n − 1) units3 One-thirdn3(n − 1) units3

Respuesta :

Answer:

The answer is "[tex]\bold{\frac{1}{3} \ n^2 (n - 1) \ units^3}[/tex]"

Step-by-step explanation:

Please find the complete question in the attachment file.

The volume of a pyramid: [tex]V=\frac{1}{3} (\text{base area}) \times (\text{height})[/tex]

In the question if:

[tex]Area= n^2 \ units^2 \\\\height= (n-1) \ units\\[/tex]  

apply the value in the volume formula:

[tex]V=\frac{1}{3}\ n^2 \ units \times (n-1) \ units^2\\\\[/tex]

   [tex]= \frac{1}{3}\ n^2 \times (n-1) \ units^3\\\\ = \frac{1}{3}\ n^2 (n-1) \ units^3\\\\[/tex]

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Answer:

option C). 1/3^2(n − 1) units3

Step-by-step explanation:

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