Question

find the number of 4cm cubes that can be cut from a solid cubes whose edge is 32cm

Answer 1

Given that the edge of the larger cube = 32cm

Volume of cube= a³ = 32³ = 32768 cm³

Now, edge of the smaller cube = 4cm

Its volume= a³ = 4³ = 64cm³

No. of 4 cm cubes that can be formed by the larger cube = Volume of bigger cube / volume of smaller cube

⇒ 32768 / 64
⇒ 512

So, 512 cubes can be formed. 

Answer 2

Area of 32 cm cube= a³ cubic units
= (32)³=32,768 cu.units
Area of 4 cm cube=(4)³= 64 cubic units
therefore,
No.of 4 cm cubes which can be made using 32 cm cube= 32,768/64= 512.