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

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

$l=\frac{5}{2x+8} ;w=\frac{12}{x}; h=\frac{x+4}{4} \\ \\ V=l*w*h\\ \\V=\frac{5}{2x+8} *\frac{12}{x}*\frac{x+4}{4}$

Step 2: Simplify the expression by multiplying the fraction.

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

$V=\frac{5}{2x+8} *\frac{12}{x} *\frac{x+4}{4} =\frac{5\cdot12\cdot(x+4)}{(2x+8)\cdot x\cdot4}$

Factor 2x+8 in the denominator

$V=\frac{60(x+4)}{4\cdot x\cdot 2(x+4)}$

Cancel the common factors in the numerator and denominator.

$V=\frac{15}{2x}$

Answer 2

Answer:

A.) 15/2x

Hope this helps!