Use the image to answer the question.
An illustration shows a 3-dimensional vertical rectangular prism that appears as the letter upper C, with a rectangular portion removed from the right center. The rectangular prism is 15 feet high, 10 feet wide, and 1 foot deep. The width of the portion removed from the middle on the right side is 7 feet across. The height of the remaining two arms left at the top and bottom is 4 feet each.
In Los Cabos, Mexico, there is a big sculpture of block letters that welcomes you. The image shows the letter C . What is its surface area?
(1 point)
ft.2
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The surface area of the letter C can be calculated by finding the area of each of its individual faces and adding them together.
1. The front face of the rectangular prism: 15 feet * 10 feet = 150 ft^2
2. The back face of the rectangular prism: 15 feet * 10 feet = 150 ft^2
3. The top face of the rectangular prism (the remaining part of the C): 4 feet * 7 feet = 28 ft^2
4. The bottom face of the rectangular prism (the remaining part of the C): 4 feet * 7 feet = 28 ft^2
5. The two side faces of the rectangular prism: 15 feet * 1 foot + 4 feet * 7 feet + 15 feet * 1 foot + 4 feet * 7 feet = 108 ft^2 (total for both sides)
Adding all these areas together: 150 ft^2 + 150 ft^2 + 28 ft^2 + 28 ft^2 + 108 ft^2 = 464 ft^2
Therefore, the surface area of the letter C sculpture is 464 ft^2.