Surface Area of a Space Figure

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In this video, you will learn how to find the surface area of rectangular prisms, by analyzing the prism’s six faces and computing their areas.

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Presentation transcript:

Surface Area of a Space Figure Rectangular Prism

What is Surface Area? The sum of the areas of all the surfaces of a solid figure

What is a Rectangular Prism? It is a space figure. Its bases are rectangular, congruent, and in parallel planes. The other faces are all rectangles. It is a box.

Rectangular Prism This is the rectangular prism we analyzed. It is a cereal box from our kitchen. It has six rectangular faces. It stands tall.

Area of Face A To find the area of a rectangle, multiply its length and width. The area of face a is 6.5 x 9.5 = 61.75 sq. in. The face opposite a has the same area. a 9.5 in 6.5 in

Area of Face F The area of face f is 9.5 x 2 = 19 sq. in. The face opposite f has the same area. a 9.5 in. f 2 in.

Area of Face B The area of face b is 6.5 x 2 = 13 sq. in. The area opposite b has the same area. a f

Surface Area The surface area is the sum of the area of the faces that form the solid. The surface area of this rectangular prism is:

Surface Area Calculations 2(61.75) =123.5 sq. in. + front + back side + side + 2(19) = 38 sq. in. top + bottom 2(13) = 26 sq. in. + 187.5 sq. in.

Surface Area of this Box The surface area of the cereal box is 187.5 square inches.