Question

If a solid cube is broken into 8 smaller cubes, will the total surface area increase,decreases or remain the same?


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Answer 1

Answer:

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Step-by-step explanation:

increase

Answer 2

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→ What is the total surface area of the eight smaller cubes ?

We can go right ahead and square the length of the side to get the area of one side of the cube, which is 8 x 8 = 64. Then we take the area of the side and multiply it by the number of sides, which is 64 x 6 = 384. Therefore, the surface area of the cube would be 384cm squared.

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[Volume of big cube = 64]

The volume of the big cube being 64 cm, the volume of each of the 8 smaller cubes will be 64/8 = 8 cm. Hence each side of the smaller cube will be 8^(1/3) = 2 m.