Use the image to answer the question.
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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To find the surface area of the letter C, we need to calculate the surface area of each individual surface and then add them together.
Surface area of the front and back faces = height * width = 15ft * 10ft = 150 ft² (2 faces, so total = 300 ft²)
Surface area of the top and bottom faces = width * depth = 10ft * 1ft = 10 ft² (2 faces, so total = 20 ft²)
Surface area of the left side face = height * depth = 15ft * 1ft = 15 ft²
Surface area of the right side face = (height - 2*height of removed portion) * width = (15ft - 2*4ft) * 7ft = 7 ft * 7 ft = 49 ft²
Total surface area = 300 ft² + 20 ft² + 15 ft² + 49 ft² = 384 ft²
Therefore, the surface area of the letter C sculpture is 384 ft².