How many cubes each of surface area of 6 sq. dm. can be made from a metre cube?

A 976

B 1000

C 841

D 100

E None of these

Correct Answer: Option B

Given that, surface area of one cube, i.e. 6a² (where a is side of the cube) = 1 sq. dm.,

⇒ a² =6/6 = 1

Then, side of the cube, a = √1 = 1 dm.

Volume of the cube = a³

⇒ Volume = 1 cub. dm.

Since 1 metre = 10 decimetre, so in 1 metre cube, there are 1000 decimetre cubes

Our aim is to calculate number of cubes in 1000 cub. dm. each of 1 cub. dm. volume.

Thus, number of cubes = total volume of the big cube/volume of small cubes

⇒ Number of cubes = 1000/1 = 1000 cubes.