Page 190 - Maths Skills - 8
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188                                                                                                  Maths















                                                    MIND MAP





                                                    Mensuration




                             Trapezium                                                      Cube
                  1
          Area =   × altitude × (Sum of Its Parallel Sides)
                  2

                                                                                        l

                         Cuboid                                                             l
                                                                                              l
                                                                             �   Total surface area (TSA)
                                                                                [includes all 6-faces]

                                                                                  = 6 l  sq. units
                                                                                         2
                b
                                                                             �   Lateral surface area (LSA)
                    h                                                           [includes only 4-faces]
                            l                                                   = 4 l  sq. units
                                                                                     2
          �  Total surface area (TSA)                                        �   Volume = l  = (side)  cubic units
                                                                                            3
                                                                                                     3
             [includes all 6-faces]
             = [2 lh + 2 bh + 2 lb] sq. units
          �  Lateral surface area (LSA)
             [includes only 4-faces and
             excludes top and bottom faces]                                        Cylinder
             = 2 lh + 2 bh = [2 (l + b) h] sq. units
          �  Volume = lbh cubic units                                         r                   r

                                                                                        h


                                                                             +                     +


                                                                      �  Curve surface area of cylinder
                    NOTE                                                 = 2πrh sq. unit

                      �  1 litre = 1000 cm 3                          �  Lateral surface area of cylinder
                                                                              2
                      �  1 millilitre = 1 cm 3                           = 2πr  + 2πrh = 2πr (r + h) sq. unit
                                                                                        2
                                                                      �  Volume = = πr h cubic units
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