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?

Use the prism volume formula, V = Bh, by multiplying each proposed base area by its height. For choice D, 16y²(y² + y + 3) = 16y⁴ + 16y³ + 48y², which matches the given volume. So the base area could be 16y² square units and the height could be y² + y + 3 units.

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