Find the surface area of a textbook that is 2 in. × 14 in. × 9 in. (1 point)
Responses
252 in.2
252 in. squared
172 in.2
172 in. squared
50 in.2
50 in. squared
344 in.2
The surface area of a rectangular prism can be found by calculating the area of each of the six faces and then adding them together.
The area of the first face (2 in × 14 in) is 28 in².
The area of the second face (2 in × 14 in) is also 28 in².
The area of the third face (2 in × 9 in) is 18 in².
The area of the fourth face (2 in × 9 in) is also 18 in².
The area of the fifth face (14 in × 9 in) is 126 in².
The area of the sixth face (14 in × 9 in) is also 126 in².
Adding all of these together, the surface area of the textbook is 28 in² + 28 in² + 18 in² + 18 in² + 126 in² + 126 in² = 344 in².
Therefore, the correct answer is 344 in.².