Question

The volume of a cube is 512 cm3 then its diagonal is​

Answer 1

Answer:

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✒ It is given that

Volume of a cube =512 cm3

We know that

Volume of cube =a3

So we get

Each edge of the cube =3512=8cm

We know that

Surface area of cube =6a2

By substituting the values

Surface area of cube =6×(8)2

So we get

Surface area of cube =6×64=384 cm2

Therefore, the surface area of cube is 384 cm2.

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Answer 2

Given:-

• volume of a cube is 512 cm³.

⠀

To find:-

• Diagonal of a cube.

⠀

Solution:-

Here,

• Volume (V) = 512 cm³

⠀

We know that,

→ Volume of cube = a³

⠀

→ 512 = a³

→ a = 3√512

→ a = 3√2⁹

→ a = 2³

→ a = 8 cm

⠀

Now,

→ diagonal = √3a

→ diagonal = √3 × 8

→ diagonal = 8√3 cm

⠀

Hence,

• the diagonal of a cube is 8√3 cm.