Find the surface area of a textbook that is 2 in. × 14 in. × 9 in. (1 point)
Responses
172 in.2
172 in. squared
50 in.2
50 in. squared
344 in.2
344 in. squared
252 in.2
The surface area of a rectangular prism can be found by finding the area of each face and adding them together.
The area of the front and back faces: 2 in. × 14 in. = 28 in.² each
The area of the top and bottom faces: 2 in. × 9 in. = 18 in.² each
The area of the left and right faces: 14 in. × 9 in. = 126 in.² each
Adding all the areas together:
Front and back faces: 2(28 in.²) = 56 in.²
Top and bottom faces: 2(18 in.²) = 36 in.²
Left and right faces: 2(126 in.²) = 252 in.²
Therefore, the total surface area of the textbook is 56 in.² + 36 in.² + 252 in.² = 344 in.².
The correct answer is 344 in.2 (or 344 in. squared).