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Gnoma [55]
3 years ago
15

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

Mathematics
1 answer:
Ymorist [56]3 years ago
8 0

You can factor the formula for the volume as

V = 4x^3-12x^2y+9xy^2 = x(2x-3y)^2

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

So, its volume would be

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

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