The volume of 3D Figures With Unit Cubes

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Unit Cube

A unit cube is a cube having each side as 1 unit.

Volume of a unit cube = side x side x side  

                                        = 1 unit x 1 unit x 1 unit = 1  or 1 cubic units.

Hence, the volume of the three-dimensional unit cube is 1 cubic unit.

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 Example 1: Count the cubes and find the volumes of the below shape.

The volume of the above figure = 6 unit cubes

 

The volume of 3D shapes

The volume of a three-dimensional object is a measure of the amount of space occupied by that object. It is usually measured in unit cubes.

In simple terms, the number of cubic units it takes to fill a defined 3D shape is called its volume.

Volume of the above solid = 8 unit cubes

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Check Point

  1. Find the volume of the below shape by counting the cubes.

  1. 5
  2. 6
  3. 9
  4. 7

2. Find the volume of the below 3D shape.

  1. 10
  2. 12
  3. 11
  4. 9

3. Find the volume of the below 3D shape.

  1.  10
  2. 11
  3. 14
  4. 8

 4. Find the volume of below 3D shape using unit cubes.

  1. 12
  2. 11
  3. 13
  4. 14

5. Find the volume of the below 3D shape using unit cubes.

  1. 8
  2. 9
  3. 6
  4. 7

Answer Key

  1. d) 7

The volume of the given 3D shape = 7 unit cubes

  1. a) 10

The volume of the given 3D shape = 10 unit cubes

  1. b) 11

The volume of the given 3D shape = 11 unit cubes

  1. c) 13

The volume of the given 3D shape = 13 unit cubes

  1. a) 8

The volume of the given 3D shape = 8 unit cubes

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