Problema Solution

The volume of a prism is the product of its height and area of its base, V = Bh. A rectangular prism has a volume of 16y4 + 16y3 + 48y2 cubic units. Which could be the base area and height of the prism?

Answer provided by our tutors

Since 16y^4 + 16y^3 + 48y^2 = 16y^2(y^2 + y + 3)

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Bh = 16y^2(y^2 + y + 3)

The base could be B = 16y^2 while the height h = y^2 + y + 3.