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Surface Area of Rectangular Prisms

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Page 1: 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

Surface Area of Rectangular

Prisms

Page 2: 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

• 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.

5

23

5(2)

=

10

Calculate the total surface area of the prism.

5(2)

=

10

5(3)

=

15

5(3)

=

15

3(2) = 6

3(2) = 6

2(10) + 2(15) + 2(6) = 62 units²

Page 3: 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

You can also use a formula to calculate total surface area of prisms.

S = Ph + 2BPerimeter of the Base

Area of the Base

Height of prism

Page 4: 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

5

23

P = 3 + 2 + 3 + 2P = 10

B = lwB = 3(2)B = 6

S = Ph + 2BS = 10(5) + 2(6)S = 62 units²

First, find P.

Then, find B.

Finally, plug your calculations for P and B into the formula for surface area.

Page 5: 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

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?

10”

6”8”

P = 8 + 6 + 8 + 6

P = 28

B = lwB = 8(6) B = 48

S = Ph + 2B S = 28(10) + 2(48) S = 376 inches²

Page 6: 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

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

Lateral, lateral, lateral is the label, label, label…

Page 7: 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

To find the lateral surface area, you can calculate the area of each lateral face, or you can use this formula:

LA = PhPerimeter of the Base Height of prism

Page 8: 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

Find the lateral surface area.

First, find P.

P = 2 + 2 + 2 + 2P = 8

2

220

LA = Ph

LA = 8(20)

LA = 160 units²

Then, multiply P by the height of the prism.