The total area of a cube is expressed by A(x) = 24x^2+24x+6. What is the volume of this cube?
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Answer:
8x^3+12x^2+6x+1
Step-by-step explanation:
Area of a cube is 6k^2
k= edge length
6k^2=24x^2+24x+6
k^2=4x^2+4x+1
k^2=(2x+1)^2
k=2x+1
volume = k^3
= (2x+1)^3
= 8x^3+1+12x^2+6x
=8x^3+12x^2+6x+1
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