Question

The volume of a rectangular prism is `36x^5y^9`. What is the length of the prism if its width is `3x^2y` and its height is `4xy^3`?

Answer 1

The volume of a prism is given by `V = A_(base) xx h`

Explanation:

`36x^5y^9 = (3x^2y xx l) xx4xy^3`

`(36x^5y^9)/(4xy^3) = 3x^2y xx l`

When you divide exponents, you subtract them. However, don't forget you can't combine the x and y exponent terms.

`9x^4y^6 = 3x^2y xx l`

`(9x^4y^6)/(3x^2y) = l`

`3x^2y^5 = l`

The length measures `3x^2y^5`

Hopefully this helps!