5. Surface Areas of Prisms
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Use a net of the solid to find the surface area of the prism.
258m^2
We want to calculate the surface area of the given rectangular prism. Let's see the given prism.
Every polygon in the net is a rectangle. Let's calculate the area of each rectangle separately and add them up!
| Face | Length l | Width w | Area=l * w |
|---|---|---|---|
| Bottom | 9 | 6 | 9* 6=54m^2 |
| Top | 9 | 6 | 9* 6=54m^2 |
| Side | 5 | 6 | 5* 6=30m^2 |
| Side | 5 | 6 | 5* 6=30m^2 |
| Front | 9 | 5 | 9* 5=45m^2 |
| Back | 9 | 5 | 9* 5=45m^2 |
We now have all the information that we need to find the total surface area of the rectangular prism. Let's add the areas of the faces to get the whole area! Total Surface Area 54+ 54+ 30+ 30+ 45+ 45=258m^2 The total surface area is 258 square meters.