Find the surface area of a textbook that is 2 in. × 14 in. × 9 in. (1 point)

Responses

344 in.2
344 in. squared

172 in.2
172 in. squared

252 in.2
252 in. squared

50 in.2

1 answer

To find the surface area of the textbook, we need to calculate the sum of the areas of all its sides.

The textbook has six sides: two 2 in. × 14 in. sides, two 2 in. × 9 in. sides, and two 14 in. × 9 in. sides.

The area of each 2 in. × 14 in. side is 2 in. × 14 in. = 28 in².

The area of each 2 in. × 9 in. side is 2 in. × 9 in. = 18 in².

The area of each 14 in. × 9 in. side is 14 in. × 9 in. = 126 in².

Therefore, the total surface area of the textbook is:
(28 in² × 2) + (18 in² × 2) + (126 in² × 2) = 56 in² + 36 in² + 252 in² = 344 in².

So, the correct answer is 344 in.².