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Question

The surface area of the shoe box given below is


A
218 sq in
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B
392 sq in
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C
292 sq in
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Solution

The correct option is B 392 sq in
The given box is in the shape of a cuboid.


Three sides are named as A, B and C

The corresponding sides opposite to A, B and C are equal.

Surface area of side A = length × width

Length of side A = 12 in

Width of side A = 5 in

Surface area of A = 12 × 5 = 60 sq in



Surface area of side B = length × width

Length of side B = 12 in

Width of side B = 8 in

Surface area of B = 12 × 8 = 96 sq in



Surface area of side C = length × width

Length of side C = 8 in

Width of side C = 5 in

Surface area of C = 8 × 5 = 40 sq in



Total surface area = 2 ×( +
surface area of A+ surface area of side B + surface area of side C)

= 2(60 +96+ 40) = 2(196) = 392

Hence, the surface area of the shoe box is 392 sq in.

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