Question

A rectangular box has dimensions 4 5 6 units.If the box is filled with small cubes of edges 2 units,what is the maximum number of cubes that can be placed into the box

Answer 1

Answer:

Number of cubes can be made is 15

Step-by-step explanation:

Step 1:

It is significant to know that the volume of a cube is equal to the multiplication of length, breadth and height.

Step 2:  

Capacity of a cube = (length × breadth × height)

Step 3:  

Capacity of a cuboid = 6 x 4 x 5  

= 120 cubic cm

= a x a x a

Capacity of 2 cm cube = 2x2x2 = 8

Number of cubes can be made = 120 / 8 = 15  

Answer 2

Answer:

12

Step-by-step explanation:

Actually the answer is 12, this is a very tricky question.

Here's how i solved it

Instead of finding the volumes, calculate how many cubes could fit in 4,5,6 lengths.

i.e 2 cubes in 4 & 2 cubes in 5 & 3 cubes in 6

Hence, 2* 2 * 3 = 12