NEED HELP ASAP!The volume of the cube below is 1/8 to the power of twoWhat is the value of x? A. x = 1/8 B. x = 1/4 C. x = 1/2 D. x = 8
Accepted Solution
A:
Answer:CStep-by-step explanation:Given the volume = [tex]\frac{1}{8}[/tex] cm³and the volume of the cube with side x = x³, thenx³ = [tex]\frac{1}{8}[/tex] ← take the cube root of both sides [tex]\sqrt[3]{x^3}[/tex] = [tex]\sqrt[3]{\frac{1}{8} }[/tex]Note that [tex]\frac{1}{8}[/tex] = [tex]\frac{1}{2}[/tex] × [tex]\frac{1}{2}[/tex] × [tex]\frac{1}{2}[/tex]Hencex = [tex]\frac{1}{2}[/tex] → C