Question

The volume of a smaller cube that is formed when a unit cube is divided into 4 equal parts along all its dimensions is cu units.

• A. $\frac{1}{32}$
• B. $\frac{1}{16}$
• C. $\frac{1}{4}$
• D. $\frac{1}{64}$

Answer 1

The correct option is D $\frac{1}{64}$

Volume of a unit cube
= 1 unit $\times$ 1 unit $\times$ 1 unit
= 1 cu unit

Total no. of unit cubes
= No. of cubes along the length $\times$
No. of cubes along the breadth $\times$
No. of cubes along the height
= 4$\times$ 4 $\times$ 4
= 64

$\text{Volume of the smaller cube}$
$=\frac{\text{Volume of the unit cube}}{\text{No. of smaller cubes}}$
$=\frac{1}{64}$ cu units