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The solid below is made from 1 centimeter cubes. Find the total surface area of the solid. Be sure to include the correct unit in your answer.

The solid below is made from 1 centimeter cubes Find the total surface area of the solid Be sure to include the correct unit in your answer class=

Respuesta :

Answer:

62 [tex]cm^{2}[/tex]

Step-by-step explanation:

A 1 centimetre cube implies that its length = width = height = 1 cm.

Thus, the area of a surface of the cube = length × length

                                                                 = 1 × 1

                                                                 = 1 [tex]cm^{2}[/tex]

Considering the views or parts of the given solid;

Surface area of its left side = Surface area of its right side = 1 × 10

                                             = 10 [tex]cm^{2}[/tex]

Surface area of the front elevation = Surface area of its back = 1 × 9

                                              = 9 [tex]cm^{2}[/tex]

Surface area of its plan = Surface area of its bottom = 1 × 12

                                               = 12 [tex]cm^{2}[/tex]

Total surface area of the solid = 10 + 10 + 9 + 9 + 12 + 12

                                                 = 62 [tex]cm^{2}[/tex]

The total surface area of the solid is 62 [tex]cm^{2}[/tex].