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GiveN:

We're provided with the Edge (side) of a cube, that is, 10 cm. However, we've to find out the :

Volume

Total Surface Area

Lateral Surface Area

Length of the Diagonal

Diagram :

We know the respective formula's to calculate them, instead of any lengthy methods.

I) Volume :

→ Volume of a Cube = (edge)³

By substituting the values :

→ Volume of a Cube = (10)³

→ Volume of a Cube = 1000 m³

Volume of the given cube is 1000 m³

II) Total Surface Area :

→ TSA of a Cube = 6 × (edge)²

By substituting the values :

→ TSA of a Cube = 6 × (10)²

→ TSA of a Cube = 6 × 100

→ TSA of a Cube = 600 m²

Total Surface Area of the given Cube is 600 m²

III) Lateral Surface Area :

→ LSA of a Cube = 4 × (edge)²

By substituting the values :

→ LSA of a Cube = 4 × (10)²

→ LSA of a Cube = 4 × 100

→ LSA of a Cube = 400 m²

Lateral Surface Area of given Cube is 400 m²

III) Length of the Diagonals :

We know that,

→ Length of diagonals of a Cube = √3(edge)

By substituting the values :

→ Length of Diagonals = √3(10)

→ Length of Diagonals = 1.73 × 10

→ Length of Diagonals = 17.3 m

Length of diagonals of given Cube is 17.3 m.

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