Question

a cube of Edge 5 cm is cut into cubes each of edge 1 cm find the ratio of the total surface area of one of small cube to that of the large cube​

Answer 1

Answer:

Step-by-step explanation:

TSA of big cube =6 (5) ^2

TSA of small cube = 6 (1) ^2

Ratio = 6 ×25 : 6 ×1

= 150 : 6

= 25 : 1

Answer 2

Answer:

1 : 25

Step-by-step explanation:

Given----> Cube of edge 5cm is cut in to cubes of edge 1 Cm.

To find ----> Ratio of the total surface area of one small cube to that of the large cube .

Solution----> We know that,

Total surface area of cube = 6 ( edge )²

Now,

Total surface area of large cube = 6 ( edge )²

S₁ = 6 ( 5 )²

S₁ = 6 ( 25 )

S₁ = 150 Cm²

Total surface area of small cube = 6 ( edge )²

= 6 ( 1 )²

= 6 ( 1 )

S₂= 6 Cm²

Now, S₂ / S₁ = 6 / 150

=> S₂ / S₁ = 1 / 25

=> S₂ : S₁ = 1 : 25