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

1 answer

To find the surface area of the letter C sculpture, we need to calculate the surface area of each individual face and then add them together.

1. Top face: 10 ft x 1 ft = 10 ft²
2. Bottom face: 10 ft x 1 ft = 10 ft²
3. Front face: 15 ft x 1 ft = 15 ft²
4. Back face: 15 ft x 1 ft = 15 ft²
5. Left side face: 15 ft x 4 ft = 60 ft²
6. Right side face: 4 ft x 7 ft = 28 ft²

Adding up all the surface areas:
10 ft² + 10 ft² + 15 ft² + 15 ft² + 60 ft² + 28 ft² = 138 ft²

Therefore, the surface area of the letter C sculpture is 138 ft².
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