Answer:
C
Step-by-step explanation:
Given the volume = [tex]\frac{1}{8}[/tex] cm³
and the volume of the cube with side x = x³, then
x³ = [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]
Hence
x = [tex]\frac{1}{2}[/tex] → C
Answer: The correct option is
(C) [tex]\dfrac{1}{2}.[/tex]
Step-by-step explanation: Give that the volume of the cube shown in the figure is [tex]dfrac{1}{8}[/tex] cm².
We are to find the value of x.
We know that
the VOLUME of a cube with l units is equal to l³ units³.
Here, we have, l = x cm.
Therefore, according to the given information, we have
[tex]V=\dfrac{1}{8}\right\\\\\\\Rightarrow x^3=\dfrac{1}{8}\\\\\\\Rightarrow x^3=\left(\dfrac{1}{2}\right)^3\\\\\\\Rightarrow x=\dfrac{1}{2}.[/tex]
Thus, the required value of x is [tex]\dfrac{1}{2}.[/tex]
Option (C) is CORRECT.
