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The base edge of an oblique square pyramid is represented as x cm. If the height is 9cm, what is the volume of the pyramid in terms of x?

The base edge of an oblique square pyramid is represented as x cm If the height is 9cm what is the volume of the pyramid in terms of x class=

Respuesta :

A is correct:

Let volume v, length l, and h height.

v= (l²h)/3

v=(x²9)/3

v=3x²

Answer:

3x² cm³

Step-by-step explanation:

The formula for a square pyramid is

V= l²h/3 where l is the length of the square sides and h is the height of the pyramid.

Solving this for l = x cm and h = 9 cm we would have

[tex]V=l^{2} h/3\\V=x^{2} 9/3\\V=9x^{2} /3\\V=3x^{2}[/tex]

Therefore, the volume in terms of x would be 3x²