Question

All the dimensions of the given unit cube are divided into 2 equal parts as shown below. Select the volume of the smaller gren colored cube so obtained.

• A. $\frac{1}{8}\text{cu units}$
• B. $\frac{1}{4}\text{cu units}$
• C. $\frac{1}{10}\text{cu units}$
• D. $\frac{1}{6}\text{cu units}$

Answer 1

The correct option is A $\frac{1}{8}\text{cu units}$


In case of the original cube, every dimension is of the same length.

∴ Volume of the cube is
= 1 × 1 × 1
= 1 cu units



Now the larger cube is broken into 2 equal parts.

So, dimensions of the new cube:
$\text{Length}=\frac{1}{2}\text{units}$
$\text{Width}=\frac{1}{2}\text{units}$
$\text{Height}=\frac{1}{2}\text{units}$

Therefore, volume of the new cube is
$=\frac{1}{2}\times \frac{1}{2}\times \frac{1}{2}\text{cu units}$

$=\frac{1}{8}\text{cu units}$