Question

the outer border of width 1 cm of a cube with side 5cm is painted yellow on each side and remaining space enclosed by this 1 cm path is painted pink. This cube is now cut into 125 smaller cube of each side 1 cm. how many small cubes so obtained are now obtained

Answer 1

Answer: 61 small cubes are obtained.

Given:

Sides of cube (a) = 5 cm

Outer border width = painted in yellow = 1 cm

Volume of cube = $a \times a \times a \quad cubic\quad units.$

Volume of a cube with side as 5 cm = $5 \times 5 \times 5 =125 { cm }^{ 3 } = 125 cubes.$

Volume of cube that is uncoloured $= (5-1) \times (5-1) \times (5-1)$

                                                       =   $4 \times 4 \times 4$

                                        = $64 { cm }^{ 3 }$ = 64 cubes.

Therefore, the number of small cubes obtained have at least one face coloured = (Total number of cubes – number of Uncoloured cubes)

              = 125-64 = 61 cubes."

Answer 2

Answer:

just refer it.Ans is 61.

Step-by-step explanation:

nothing more than that