Step-by-step explanation:

Hence, a cube has:

(i) six surfaces or faces,

(ii) 8 vertices,

(iii) 12 edges or sides of equal length.

Volume of a Cube

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Since a cube has all sides equal.

Volume of a cube = (side × side × side) cubic units.

= 1 × 1 × 1 cubic units

Since area = side × side

Volume of a cube = (area × side) cubic units.

Solved examples on volume of a cube:

1. Find the volume of cuboid by counting the number of cubes.

Solution:

Cuboid Volume

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Solution:

The number of unit cubes are 6, its volume is 6 cu cm.

2. Find the volume of cuboid by counting the number of cubes.

Solution:

Cuboid Volume Problem

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Solution:

The number of cubes are 12, its volume is 12 cu cm.

3. Find the volume of a cube whose edge is 5 cm long.

Solution:

The length of an edge = 5 cm

Volume of a cube = side of edge × side of edge × side of edge

Volume of a cube = 5 cm × 5 cm × 5 cm

= 125 cu cm

= 125 cm3

4. Find the volume of a cube of side 7 cm.

Solution:

We know, volume of a cube = (side × side × side) cubic units.

Here, side = 7 cm.

= 7 × 7 × 7

= 343

Therefore, volume of a cube = 343 cubic cm.

5. Find the volume of a cube of side 13 cm.

Solution:

We know, volume of a cube = (side × side × side) cubic units.

Here, side = 13 cm.

= 13 × 13 × 13

= 2197

Therefore, volume of a cube = 2197 cubic cm.

6. Find the volume of water that can be contained in a cubical container each of whose edge measure 2 m internally.

Solution:

The internal length of an edge of the container = 2 m

The internal volume of the container = 2 m × 2 m × 2 m = 8 cu m

Sana nakatulong

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thanks