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13 votes
Question 9 of 30 Find the surface area of the polyhedron below. The area of each base is 65 cm2 7 cm 2 cm 12 cm 2 cm 2cm 3 cm 4 cm

User StefanNch
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1 Answer

20 votes
20 votes

The approach is to find the area of the individual sides and add all up

Besides the base, we can identify about 6 rectangles.

area of a rectangle, A = base x height


\begin{gathered} \text{All the rectangles have a height of 12cm as se}en\text{ in the diagram,} \\ \text{Therefore area is area of 2 bases + area of rectangles.} \end{gathered}
\begin{gathered} =2(65)\text{ + (4}*12\text{)+(3}*12\text{) +(2}*12\text{)+(2}*12\text{)+(2}*12\text{)+(7}*12\text{)} \\ =130+\text{ 48 + }36\text{ + 24 + 24 + 24 + 84} \\ =370\text{ sq cm} \end{gathered}

User Lilleman
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