## If the length of a diagonal of a cube is 12 root 3 cm find its surface area and volumeSpam answer will be reported :)​

Question

If the length of a diagonal of a cube is 12 root 3 cm find its surface area and volume

Spam answer will be reported :)​

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3 months 2021-07-24T12:54:44+00:00 2 Answers 0 views 0

Given: Length of the diagonal of a cube is cm.

To find: Surface area & Volume of cube?

⠀⠀⠀⠀━━━━━━━━━━━━━━━━━━━━━

☯ Let side of cube be a cm.

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Now, Diagonal of cube is given by,   ### ⠀⠀⠀⠀━━━━━━━━━━━━━━━━━━━━━

⋆ Now, Finding Surface Area of cube,   ### ⠀⠀⠀⠀━━━━━━━━━━━━━━━━━━━━━

⋆ Now, Volume of cube,   • The surface area of cube = 864cm²
• The volume of cube = 1728cm³

### Step-by-step explanation:

To Find:

• The surface area of cube
• The volume of cube

Solution:

Given that,

• The length of a diagonal of cube is 123 cm.

We know that,

Diagonal of cube = a√3 units,

Where,

• a = side of cube.

∴ The side of cube :-

a√3 = Diagonal of cube

a√3 = 12√3

a = 12cm.

### According the question,

• The surface area of cube

We know that,

Surface area of cube = 6(a)² sq. units,

∴ The surface area is :-

6(a)²

6(12)²

6 × 144

864cm²

• The volume of cube

We know that,

Volume of cube = (a)³ cubic units,

∴ The volume is :-

(a)³

(12)³

( 12 × 12 × 12 )

( 144 × 12 )

1728cm³