Question

NEED HELP ASAP!

Answer 1

Answer:

C

Step-by-step explanation:

Given the volume = $\frac{1}{8}$ cm³

and the volume of the cube with side x = x³, then

x³ = $\frac{1}{8}$ ← take the cube root of both sides

$\sqrt[3]{x^3}$ = $\sqrt[3]{\frac{1}{8} }$

Note that $\frac{1}{8}$ = $\frac{1}{2}$ × $\frac{1}{2}$ × $\frac{1}{2}$

Hence

x = $\frac{1}{2}$ → C

Answer 2

Answer:  The correct option is

(C) $\dfrac{1}{2}.$

Step-by-step explanation:  Give that the volume of the cube shown in the figure is $dfrac{1}{8}$ 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

$V=\dfrac{1}{8}\right\\\\\\\Rightarrow x^3=\dfrac{1}{8}\\\\\\\Rightarrow x^3=\left(\dfrac{1}{2}\right)^3\\\\\\\Rightarrow x=\dfrac{1}{2}.$

Thus, the required value of x is $\dfrac{1}{2}.$

Option (C) is CORRECT.