Page 228 - New Medley 5 Semester 1
P. 228

Volume of a Cuboid
                                                                                                              1 cm
               A unit cube has its each edge 1 cm.                                                                1 cm

                                                                                                            1 cm
               Think of the volume of a cuboid with size 8 cm by 5 cm by 3 cm.





                                                                               3 cm




                                                                           5 cm
                                                           8 cm


               Place the number of unit cubes in the cuboid layerwise.












                 8 × 5 × 1 = 40 cubes                40 × 2 = 80 cubes              40 × 3 = 120 cubes
                           in 1 layer                     in 2 layers                      in 3 layers


               Since volume of 1 unit cube is 1 cu. cm, volume of the cuboid = 120 cu. cm.



               Also, product of 8 cm × 5 cm × 3 cm = 120 cu. cm


                               Volume of the cuboid = Length × Breadth × Height


               i.e.,                                         V = lbh



                                                                          Volume                         V
               Moreover,                              Length =                               or  l =
                                                                   Breadth× Height                       bh

                                                                         Volume                          V
                                                    Breadth =                               or  b =
                                                                   Length ×     Height                   lh


                                                                          Volume                          V
               and                                    Height =                               or  h =
                                                                   Length ×     Breadth                   lb




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