Question

I NEED HELP SOON!!!

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

Answer 1

Okay, so we're given that V= Bh and that V= 16y^4 +16y^3 +48y^2. We can factor this into two nominals that each represent B and h. \[V=16y^4 +16y^3 +48y^3\] the greatest common factor is \[V=16y^2(y^2 +y +3)\]

Answer 2

Now do you see that in factored form it represents the product of two terms, 16y^2 being the first one--B and (y2 +y +3) being the second--h?

Answer 3

Thanks but I finally solved it