Take one empty crate with open top in the form of a cube whoseeach sheet is 2 cm. Now fit cubes of edge 1 cm in it. Indigenous the figure it isclear that 8 such cubes will certainly fit in it. Therefore the volume of the box will it is in equalto the volume of 8 unit cubes together.

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Therefore, the volume that the cube = 8 cu cm

Note the 8 = 2 × 2 × 2

Thus, volume of a cube = side × next × next = side3

Hence, a cube has:

**(i) 6 surfaces or faces,(ii) 8 vertices,(iii) 12 edge or political parties of same length.**

Since a cube has all political parties equal.Volume of a cube = (side × next × side) cubic units.= 1 × 1 × 1 cubic unitsSince area = next × sideVolume of a cube = (area × side) cubic units.

Solved examples on volume the a cube:

**1.** find the volume of cuboid by counting the number of cubes.

**Solution:**

**Solution: **

The variety of unit cubes space 6, that is volume is 6 cu cm.

**2.** Find the volume that cuboid by counting the variety of cubes.

**Solution:**

**Solution:**

The variety of cubes space 12, that volume is 12 cu cm.

**3.** discover the volume of a cube who edge is 5 cm long.

**Solution: **

**The length of an sheet = 5 cm**

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

**Volume of a cube = 5 centimeter × 5 cm × 5 cm**

** = 125 cu cm**

** = 125 cm3**

**4.** uncover the volume the a cube of side 7 cm.

**Solution:**

We know, volume the a cube = (side × next × side) cubic units.Here, next = 7 cm. = 7 × 7 × 7 = 343Therefore, volume of a cube = 343 cubic cm.

**5.** find the volume the a cube of next 13 cm.

**Solution: **

** we know, volume the a cube = (side × side × side) cubic units.Here, next = 13 cm. = 13 × 13 × 13 = 2197Therefore, volume of a cube = 2197 cubic cm.**

**6.** discover the volume that water that have the right to be contained in a cubical container every of whose edge measure up 2 m internally.

**Solution: **

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

**The inner volume that the container = 2 m × 2 m × 2 m = 8 cu m**

**The volume of water the the container have the right to hold = the internal volume that the container.**

**Therefore, the required volume that water = 8 cu m.**

**Questions and Answers on Cube:**

**1. Uncover the volume of cubes with each sheet measuring:**

(i) 5 cm

(ii) 10 m

(iii) 1.1 cm

(iv) 30 mm

(v) 4.3 m

**Answers:**

(i) 125 cu cm

(ii) 1000 cu m

(iii) 1.331 cu cm

(iv) 2700 mm

(v) 79.507 cu m

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