Answer:
Maximum number of 3x3x2 bricks = 23.
Step-by-step explanation:
The volume of the box = 13 x 8 x 4 = 416 cubic unit
The volume of the brick with the dimensions = 18 cubic unit
Now as per the question, we want to fill an empty box with 416 cubic unit with the help of bricks which are 18 cubic unit each.
The maximum number of bricks required to fill the box = Volume of the box ÷ Volume of one brick.
→ The number of bricks required to fill the box = 416 ÷ 18 = 23.11
But, number of bricks can never be in fraction so it means a maximum of 23 bricks can accommodate in the given box. We will not choose 24 or more than 24 bricks because these much bricks will go out of the dimensions.
Note: Volume of a cuboid = length x breadth x height (l x b x h).
