The volume of a prism is the product of its height and area of its base, v=bh. a rectangular prism had a volume of 16y^4 + 16y^3 +48y^2 cubic units. which could be the base area and height of the prism?

Volume = base × height

This is a multiplication relationship, so we need to manipulate the expression  into a product of two terms

We achieve this by factorising. 
The highest common factor of the constant 16, 16, and 48 is 16
The highest common factor of the variable , and  is 

So, factorising   gives


Since the base of the square-based pyramid is a square, the expression of the base would be  (since this expression can be square rooted completely)

The height of the prism will be 

Then why is the question on here if you know the answer