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WORKSHOP CALCULATION & SCIENCE - CITS



           Rectangular Solid (or) Cuboid

           1  Find its volume and T.S.A if a tank is 20 m long, 15 m broad and 12 m high.
                                               l      = 20m
                                               b      = 15 m
                                               h      = 12 m

                                               v      = ?
                                                T.S.A    = ?
                                         Volume v     = lbh unit³
                                                      = 20 x 15 x 12
                                                      = 3600 m³

                                                T.S.A   = 2(lb + bh + hl) unit²
                                                      = 2((20 x 15) + (15 x 12) + (20 x 12))
                                                      = 2 (300 + 180 + 240)
                                                      = 1440 m²
           2  Find out its height if the cross section is 260 mm length and 180 mm wide rectangular and the capacity of a
              fuel tank is 10500 cm³.
                                               l      = 260mm = 26 cm
                                               b      = 180 mm =18 cm

                                               v      = 10500 cm3
                                               h      = ?
                                               l.b.h   = volume
                                            26 x 18 x h   = 10500
                                                        10500
                                                   h   =
                                                        26x18
                                                      = 22.44 cm
           3  How many litres of water it can store if a water tank has the following dimensions length = 1 metre, width = 0.8
              metre and height = 1.2 metre?
                                         Volume       = l x b x h unit³
                                                      = 1 x 0.8 x 1.2

                                                      = 0.96 m³              [1 m³ = 1000 litres]
                                                      = 0.96 x 1000
                                               = 960 litres of water can store in the tank.
           4  Find its volume if the base of a prism is a rectangle having 5m length, 4m breadth and the height of the prism
              is 15m.
              The base of prism is rectangle
              Area of base             = length x breadth
                                       = 5 x 4

                                       = 20 square m







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                                            CITS : WCS - Electrical - Exercise 6
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