Question

HURRYi

Answer 1

The surface area of the new figure is 1470 square meters, if the edge length of the smaller cube is half the edge length of the cube below and edge length of bottom cube is 14 m.

Step-by-step explanation:

The given is,

         Length of Bottom (larger) cube is 14 meters

Step:1

      Surface area of new figure = (Surface area of smaller cube) +  

                                             (Surface area of bottom (larger) cube)....(1)

Step:2

        Surface area of Bottom(larger) cube is,

                             $Surface area, A = 6a^{2}$..............................................(2)

        From given, a = 14 m

        Equation (2) becomes,

                                                                  $=6(14)^{2}$

                                                                  $=(6)(196)$

                                                                   $=1176$

              Surface area of bottom cube, A = 1176 square meters

Step:3

           Surface area of smaller (top) cube is,

                         $Surface area, A = 6a^{2}$....................................................(3)

             From given, a = 7 m                   ( ∵ The edge length of the smaller cube is half the edge length of the cube below)

             Equation (2) becomes,

                                                                  $=6(7)^{2}$

                                                                  $=(6)(49)$

                                                                   $=294$

              Surface area of bottom cube, A = 294 square meters

Step:4

        From equation (1),

                      Surface area of new figure = 1176 + 294

                                                                    = 1470

                      Surface area of new figure = 1470 square meters

Result:

           The surface area of the new figure is 1470 square meters, if the edge length of the smaller cube is half the edge length of the cube below and edge length of bottom cube is 14 m.