Page 167 - Maths Class 05
P. 167

3 cm
                                                                            3 cm




            Finding the volume of a solid

            One layer        =     2 × 3 = 6 cubes

            Three layers  =        6 × 3 = 18 cubes
            .
            . .   Volume of this solid = 18 cu cm


                       Measurements in Centimetres                             Count                 Volume


                                      Breadth
                  Length                                    Height          Numbers of          length × breadth
                                    (Unit Cubes
                  (Rows)                                   (Layers)          1 cm cubes              × height
                                    in each row)

                                                                                                   4 cm × 5 cm

                     4                    5                    4                  80                  × 4 cm
                                                                                                     = 80 cm  3

                                                                                                   5 cm × 3 cm
                     5                    3                    4                  60                  × 4 cm

                                                                                                     = 60 cm  3

                                                                                                   6 cm × 3 cm
                     6                    3                    4                  72                  × 4 cm
                                                                                                     = 72 cm  3



            From the above table you can conclude that

             Volume of a couboid = length × breadth × height


            If all the edges of a cuboid are equal, then it is called a cube          .

            So,   Volume of cube = side × side × side = (side)           3

            Calculating Volume


            While finding the volume of a cube or a cuboid, you will first count
            the number of cubes in a layer and then find the number of layers.

            Cubes per layer × Number of layer = Volume


            Length ×  Breadth × Height = Volume
                                                                                                   Cuboid

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