Carcass wrote:
Attachment:
cube (2).jpg
What is the maximum number of cubes, each 3 centimeters on an edge, that can be packed into a rectangular box with inside dimensions as shown above?
(A) 360
(B) 120
(C) 90
(D) 40
(E) 20
Here,
\(\frac{Box's total volume}{each cube's volume} = number of cubes\)
We know Box's total volume: Length * Width * Height
i.e. = 15 * 12 * 6
Volume of each cube: 3 * 3 * 3
Therefore no. of cubes that can be packed = \(\frac{(15 * 12 * 6)}{(3 * 3 * 3)} = 40\)