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Surface Area of a Space Figure
Rectangular Prism
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What is Surface Area? The sum of the areas of all the surfaces of a solid figure
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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.
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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.
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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 = sq. in. The face opposite a has the same area. a 9.5 in 6.5 in
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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.
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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
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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:
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Surface Area Calculations
2(61.75) =123.5 sq. in. + front + back side + side + 2(19) = sq. in. top + bottom 2(13) = sq. in. + 187.5 sq. in.
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Surface Area of this Box
The surface area of the cereal box is square inches.
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