Answer:
V = [tex]\frac{15}{2x}[/tex]
Step-by-step explanation:
Using the volume formula
V = [tex]\frac{12}{x}[/tex] × [tex]\frac{x+4}{4}[/tex] × [tex]\frac{5}{2x+8}[/tex] ← cancel 12 and 4 by 4 and factor 2x + 8
= [tex]\frac{3}{x}[/tex] × [tex]\frac{x+4}{1}[/tex] × [tex]\frac{5}{2(x+4)}[/tex] ← cancel (x + 4) on numerator/denominator
= [tex]\frac{3}{x}[/tex] × 1 × [tex]\frac{5}{2}[/tex]
= [tex]\frac{15}{2x}[/tex]
