Big Ideas Math: Modeling Real Life, Grade 6
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Big Ideas Math: Modeling Real Life, Grade 6 View details
5. Surface Areas of Prisms
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Exercise 1 Page 312

258m^2

Practice makes perfect

We want to calculate the surface area of the given rectangular prism. Let's see the given prism.

We can use a net to calculate the surface area of the rectangular prism. Let's see a net!

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.