Question

The number of cubes of side 2 cm that can be placed inside a box of dimensions 10 x 4 x 2 cm is

• A. 10
• B. 5
• C. 15

Answer 1

The correct option is A 10

Volume of cube of side 2 cm = 2 $\times$ 2 $\times$ 2
= 8 cm${}^3$
Now, let 'b' number of boxes can be placed inside the box.
Volume of the box = 10 $\times$ 4 $\times$ 2
= 80 cm${}^3$
$\because$ The sum of volumes of cubes that placed in the box is equal to the volume of the box.
$\Rightarrow$ b $\times$ 8 cm${}^3$ = 80 cm${}^3$
$\Rightarrow$ b = $\frac{80}{8}$
$\Rightarrow$ b = 10
$\therefore$ Number of boxes can be placed inside the box is 10.