Find the surface area of a textbook that is 2 in. × 14 in. × 9 in. (1 point)
• 172 in.?
• 252 in.?
• 50 in.?
• 344 in.?
To find the surface area of the textbook, we need to find the area of each side and then add them together.
The textbook has six sides: the top, bottom, front, back, left, and right side.
The top and bottom sides both have dimensions of 2 in. × 14 in., so their areas are:
Area of top = 2 in. × 14 in. = 28 in²
Area of bottom = 2 in. × 14 in. = 28 in²
The front and back sides both have dimensions of 2 in. × 9 in., so their areas are:
Area of front = 2 in. × 9 in. = 18 in²
Area of back = 2 in. × 9 in. = 18 in²
The left and right sides both have dimensions of 14 in. × 9 in., so their areas are:
Area of left = 14 in. × 9 in. = 126 in²
Area of right = 14 in. × 9 in. = 126 in²
Now, we can add up the areas of all sides:
Total surface area = Area of top + Area of bottom + Area of front + Area of back + Area of left + Area of right
Total surface area = 28 in² + 28 in² + 18 in² + 18 in² + 126 in² + 126 in² = 344 in²
Therefore, the surface area of the textbook is 344 in².
Answer: • 344 in.