One cube is cut in 8 equal cubes of each edge 4 cm then the volume of that small cube is ……………

Question

One cube is cut in 8 equal cubes of each edge 4 cm then the volume of bigger cube is ……………

 A) 125 cm³ 

B) 512 cm³ 

C) 160 cm³ 

D) None

Answer 1

Correct option is  B) 512 cm³ 

Answer 2

Remove small word from question volume of cube whose edge length is 4 cm is v = a³ = 4³ = 64 cm³.

∴ volume of 8 equal cubes whose edge length are 4 cm = 8 v = 8 × 64 = 512 cm³.

Since, given cube is cut in 8 equal cubes of each edge is 4 cm.

Therefore, volume of given cube = 8 × volume of one cube whose edge length is 4 cm.

= 8 × 4³ = 8 × 64 = 512 cm³.