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Look at the net. what is the lateral surface area, in square inches, of the figure formed by the net

Look at the net. what is the lateral surface area, in square inches, of the figure-example-1
User Alves RC
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The surface are correspond to the the areas of the faces and base of the net.

The faces are four triangles, two with a height of 4.5 in and base of 6 in., and two with a height of 5 in. and base of 4 in.

The base of the net has sides of length 4 and 6 in.

We can add all this surfaces to find the total surface area:


\begin{gathered} A=A_b+2\cdot A_(t1)+2\cdot A_(t2) \\ A=(4\cdot6)+2\cdot((6\cdot4.5)/(2))+2\cdot((4\cdot5)/(2)) \\ A=24+27+20 \\ A=71 \end{gathered}

Answer: the surface area is 71 in^2.

User Geert Weening
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