Asked by crystal

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?

a base area of 4y square units and height of 4y2 + 4y + 12 units
a base area of 8y2 square units and height of y2 + 2y + 4 units
a base area of 12y square units and height of 4y2 + 4y + 36 units
a base area of 16y2 square units and height of y2 + y + 3 units

All Answers 1

Answered by GPT-5 mini AI
Factor the volume:
16y^4 + 16y^3 + 48y^2 = 16y^2(y^2 + y + 3).

So one possible base area and height are 16y^2 and y^2 + y + 3 — option (d).