Find the surface area of a textbook that is 2 in. x 14 in. x 9 in.

1. 344 in^2.
2. 50 in^2.
3. 172 in^2.
4. 252 in^2.

1 answer

The surface area of a rectangular prism can be found by adding up the areas of all six sides.

The front and back sides both have dimensions of 2 in. x 9 in., so the area of each side is (2 in.)(9 in.) = 18 in^2. Since there are two of these sides, their total area is 2(18 in^2) = 36 in^2.

The top and bottom sides both have dimensions of 14 in. x 9 in., so the area of each side is (14 in.)(9 in.) = 126 in^2. Since there are two of these sides, their total area is 2(126 in^2) = 252 in^2.

The left and right sides both have dimensions of 2 in. x 14 in., so the area of each side is (2 in.)(14 in.) = 28 in^2. Since there are two of these sides, their total area is 2(28 in^2) = 56 in^2.

Adding up all six sides, the total surface area is 36 in^2 + 252 in^2 + 56 in^2 = 344 in^2.

Therefore, the correct answer is 1. 344 in^2.
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