Question

Using V = lwh, what is an expression for volume of the following rectangular prism? 5/2x+8. 12/x. X+4/4. Answer A.) 15/2x

Answer 1

A.) 15/2x

Hope this helps!

Answer 2

Step 1: Substitute the expression for l, w and h in the given volume formula.

`l=(5)/(2x+8) ;w=(12)/(x); h=(x+4)/(4) \\ \\ V=l*w*h\\ \\V=(5)/(2x+8) *(12)/(x)*(x+4)/(4)`

Step 2: Simplify the expression by multiplying the fraction.

When multiplying fractions we need to multiply the numerator with numerator and denominator with denominator.

`V=(5)/(2x+8) *(12)/(x) *(x+4)/(4) =(5\cdot12\cdot(x+4))/((2x+8)\cdot x\cdot4)`

Factor 2x+8 in the denominator

`V=(60(x+4))/(4\cdot x\cdot 2(x+4))`

Cancel the common factors in the numerator and denominator.

`V=(15)/(2x)`