Using v = lwh, what is an expression for the volume of the following rectangular prism? (12/x)(x+4/4)(5/2x+8)

Your answer would be (60x + 240)/(8x² + 32x).

When multiplying fractions, you are able to just multiply the numbers across like you do usually, which gives us the expression 5(12)(x + 4) as the numerator, and 4(x)(2x + 8) as the denominator. Then all we need to do is expand and simplify:

5 × 12 = 60
60(x + 4)
= 60x + 240

4 × x = 4x
4x(2x + 8)
= 8x² + 32x

So your final expression is (60x + 240)/(8x² + 32x).

I hope this helps!