Question

A big cube with integral sides is cut into 92 smaller cubes with integral sides Exactly 91 of these 92 smaller cubes are unit cubes What is the volume of the big cube?​

Answer 1

Answer:

Given:

Side 12cm

⇒Volume of cube =12×12×12=1728cm  

3

 

⇒Volume of smaller cube  

=  

8

1

​

 of 1728

=  

8

1

​

×1728=216cm  

3

 

⇒Let side be S.

∴ (S)  

3

=216

⇒S=6 cm

Ratio of SA of cubes  

=  

SA of smaller cube

SA of bigger cube

​

 

=(  

6

12

​

)  

2

=  

1

2  

2

 

​

=  

1

4

​

 

∴ Ratio between their surface areas 4:1

Step-by-step explanation: