Question

A cubical box has each edge 12 cm and another cuboidal box is 10 cm long, 12cm wide and 11cm high. i- Which box has the greater lateral surface area and by how much? ii- Which box has the smaller total surface and by how much?​

Answer 1

I) Cube,

              Side = 12 cm

We know that,

                         L.S.A. of a cube = 6$l^{2}$

                                                      = 6*12*12

                                                      = 864$cm^{2}$

II) Cuboid,

                 Length = 10cm

                 Breadth = 12cm

                 Height = 11cm

We know that,

                         L.S.A. of a cuboid = 2h(l+b)

                                                        = 2*11 (10 +12)

                                                        =22(22)

                                                        = 484$cm^{2}$

Hence, the cube has a greater lateral surface area than the cuboid

By,

     L.S.A. OF CUBE - L.S.A. OF CUBOID

   = 864 - 484

= 380 $cm^{2}$