Question

The diagonal of a face of a cube is √2 m. then its volume is​

Answer 1

Answer:

• Volume of cube is 1 m³.

Step-by-step explanation:

Given that:

• The diagonal of a face of a cube is √2 m.

To Find:

• Volume of the cube.

Let the length of edge of a cube be x.

Finding the edge:

• By pythagoras theorem.

⟶ a² + a² = (√2)²

⟶ 2a² = 2

⟶ a² = 2/2

⟶ a² = 1

⟶ a = 1

∴ The length of edge of a cube = 1 m

Finding the volume of a cube:

Formula: Volume of a cube = a³

⟶ Volume of a cube = (1 m)³

⟶ Volume of a cube = 1 m³