Question

Mike a student of class 6 goy 6 small cubes each of sides 2 Cm for his mother as a birthday gift . his mother asked him to try out making different boxes like shapes using all of these without leaving any gap between them.
1. how many different box. of different dimension can be make ?
2. How could be the maximum length possible for any box. ?​

Answer 1

Answer:

1). possible dimensions od the box are :

a). 4×6×2

b). 2×12×2

so different boxes can be made

2). maximum length is 12 cm ( in box b)

(◠‿◕)

Answer 2

Answer:

12 cm

Step-by-step explanation:

Given that there are 6 small cubes each of sides 2 cm.

Assume that the length of each cube is one unit

The volume of all the cubes combined is 6 units cubed.

The box formed has this same volume.

Then from the 6 cubes, we can have a box of the following dimensions

a) length= 6 units, Width= 1 unit, height= 1 unit

ie L= 12 cm, W= 2 cm, H= 2 cm

b) Length =  3 units, Width = 2 units, height = 1 unit

ie L= 6 cm, W= 4 cm, H= 2 cm

c) Length= 2 units, Width= 3 units, height= 1 unit

ie L= 4 cm, W= 6 cm, H= 2cm

d) Length= 1 unit, Width= 6 units, Height= 1 unit

ie L= 2 cm, W= 12 cm, H= 2 cm

The maximum possible length is 12 cm