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.
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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].