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?
To find the surface area of the letter C sculpture, we need to calculate the surface area of each individual part and then add them up.
1. The front face of the rectangular prism (15 x 10) = 150 square feet
2. The back face of the rectangular prism (15 x 10) = 150 square feet
3. The top face of the rectangular prism (10 x 1) = 10 square feet
4. The bottom face of the rectangular prism (10 x 1) = 10 square feet
5. The left arm of the letter C (4 x 1) = 4 square feet
6. The right arm of the letter C (4 x 1) = 4 square feet
7. The interior spac ( 7 x 4) = 28 square feet
Total surface area = 150 + 150 + 10 + 10 + 4 + 4 + 28 = 356 square feet
Therefore, the surface area of the letter C sculpture is 356 square feet.