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Jamal built a toy box in the shape of a rectangular prism with an open top. The diagram below shows the toy box and a net of the toy box.

Jamal built a toy box in the shape of a rectangular prism with an open top. The diagram-example-1
User Kris Jobs
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1 Answer

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13 votes

Okay, here we have this:

Considering the provided figure, we are going to calculate the requested surface area, so we obtain the following:

So to calculate the surface area we will first calculate the area of the base, the area of the short side and the area of the longest side, then we have:

Base area=6 in * 14 in=84 in^2

Short side area=8 in * 6 in = 48 in^2

Longest side area=8 in * 14 in=112 in^2

Total surface area=Base area+ 2(Short side area) + 2(Longest side area)

Total surface area=84 in^2+ 2(48 in^2) + 2 (112 in^2)

Total surface area=84 in^2+ 96 in^2 + 224 in^2

Total surface area=404 in^2

Finally we obtain that the total surface area in square inches of the toy box is 404 in^2.

User Jacob Marble
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