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?
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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