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 

8.4 10.4 8.9 10.9 have a good day

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