Question

4. If each side of a cube is doubled, how many times will its surface area increases?​

Answer 1

Answer:

percent 50 increase

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Answer 2

ǫᴜᴇsᴛɪᴏɴ :-

If each side of a cube is doubled, how many times will its surface area increases?

Sᴏʟᴜᴛɪᴏɴ :-

Let the side of original cube be 'a' cm

We know that,

➤ Surface Area of Cube = 6a²

So,

➥ Surface Area of Original Cube = 6a²

Now,

If side is doubled then,

➥ New side of cube = '2a' cm

➤ Surface Area Of New Cube

➠ 6 × (2a) ²

➠ 6 × 4a²

➠ 24a²

➮ Surface Area Of original cube = 6a²

➮ Surface Area of New Cube = 24a²

➮ Ratio of thier areas = 24a²/6a² = 4

Hence,

➲ Area of cube will become its 4 times