Question

A cube of side 4 cm is cut into 1 cm of cubes. what is the ratio of the surface area of the original cubes and cut- out cubes​

Answer 1

Here goes the answer

Volume of the cube of side 4cm = s³ = 4³ = 64

Volume of the cube of side 1cm = 1

Number of cubes of side 1cm that can be taken out from a cube of 4cm are 64/1 = 64cubes

Surface area of cube of side 4cm = 6s² = 6(4)² = 6*64cm²

Surface area of cube with side as 1cm = 6cm²

Surface areas of 64 cubes = 64*6cm²

Ratio 6*16 : 64*6

= 16:64

= 1:4

The ratio of the surface Ares of original cubes and the cut outs = 1:4

Answer 2

Answer:

the surface of 1-cm cube is 4^2=16 lower than that of 4-cm cube.