Question

You had standard rubik's cube with side length 6 cm and your brother broke it into 27 identical cubes. What is the percentage
change in surface area of the rubik's cube?​

Answer 1

Answer:

21 is the answer of this question

Answer 2

Answer:

The percentage of change in surface area of cube is 88.88%

Step-by-step explanation:

Given that,

We have an Standard rubik's cube with side length of 6cm and it is broken into 27 identical cubes.

=>Volume of the initial cube is equal to the volume of the 27 cubes.Let the side of each piece of cube be a cm.Therefore,

${6}^{3} = 27 \times {a}^{3} \\ = > {a}^{3} = \frac{6 {}^{3} }{3 {}^{3} } = > a = 2$

Hence the side of each new cube formed is 2cm.

Surface area of Rubik's cube is

$6 \times {6}^{2} = 216cm {}^{2}$

Surface area of the small cube is

$6 \times {2}^{2} = 24cm {}^{2}$

Hence percentage change in the surface area of rubik's cube is

$\frac{216 - 24}{216} \times 100 = 88.8\%$

Therefore,the percentage of change in surface area of cube is 88.88%

#SPJ3