Surface Area of Rectangular Prisms

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Presentation transcript:

Surface Area of Rectangular Prisms

Total surface area is the combined area of ALL faces of a solid. To calculate total surface area (S), you can find the area of each face (including the bases) and add all the area measures. Calculate the total surface area of the prism. 3(2) = 6 5(2) = 10 5(3) = 15 5(2) = 10 5(3) = 15 5 3(2) = 6 2 2(10) + 2(15) + 2(6) = 62 units² 3

You can also use a formula to calculate total surface area of prisms. Area of the Base S = Ph + 2B Perimeter of the Base Height of prism

P = 3 + 2 + 3 + 2 P = 10 B = lw B = 3(2) B = 6 S = Ph + 2B First, find P. P = 3 + 2 + 3 + 2 P = 10 5 Then, find B. B = lw B = 3(2) 2 3 B = 6 Finally, plug your calculations for P and B into the formula for surface area. S = Ph + 2B S = 10(5) + 2(6) S = 62 units²

Eric wants to wrap his mom’s Christmas present Eric wants to wrap his mom’s Christmas present. The box is 10 inches tall, 8 inches wide, and 6 inches long. How much paper will he need to cover the box? P = 8 + 6 + 8 + 6 P = 28 B = lw 10” B = 8(6) B = 48 8” 6” S = Ph + 2B S = 28(10) + 2(48) S = 376 inches²

Lateral area is the surface of a solid, excluding the bases. Lateral, lateral, lateral is the label, label, label…

LA = Ph Perimeter of the Base Height of prism To find the lateral surface area, you can calculate the area of each lateral face, or you can use this formula: LA = Ph Perimeter of the Base Height of prism

Find the lateral surface area. First, find P. P = 2 + 2 + 2 + 2 2 P = 8 2 20 Then, multiply P by the height of the prism. LA = Ph LA = 8(20) LA = 160 units²