Question

What is the side length of the largest cubes that can fill this rectangular prism perfectly?

• A. $0.5$ units
• B. $1$ unit
• C. $2$ units

Answer 1

The correct option is A $0.5$ units

For the rectangular prism shown below:

Here, we want to find the largest cubes that can fill the rectangular prism.
Now, the height of the cube is $4.5$ units.
$\therefore$ we cannot take the side length as $1$ unit as stacking 5 of them on top of one another, we will have half a cube left out.
$\therefore$ Taking the side length as $0.5$ units fills the prism.
$\therefore$ The side length of the cube is $0.5$ units.