robin174 robin174
  • 13-10-2019
  • Mathematics
contestada

b) A solid has volume defined by
V = 4x3 – 12x²y + 9xy2. Identify
the type of solid.

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Аноним Аноним
  • 13-10-2019

You can factor the formula for the volume as

[tex]V = 4x^3-12x^2y+9xy^2 = x(2x-3y)^2[/tex]

So, your solid could be a prism. Its base is a square with side [tex]2x-3y[/tex] and height [tex]x[/tex].

So, its volume would be

[tex](2x-3y)\cdot (2x-3y) \cdot x = x(2x-3y)^2 = 4x^3-12x^2y+9xy^2[/tex]

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