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.
The front and back faces of the letter C are both rectangular prisms with dimensions 15 feet x 10 feet, so each face has an area of 15 feet x 10 feet = 150 square feet. Since there are two of these faces, the total surface area for these faces is 2 x 150 = 300 square feet.
The top and bottom faces of the letter C are also rectangular prisms with dimensions 10 feet x 1 foot, so each face has an area of 10 feet x 1 foot = 10 square feet. Since there are two of these faces, the total surface area for these faces is 2 x 10 = 20 square feet.
The remaining two arm-like shapes on the right side of the letter C each have dimensions 15 feet tall x 4 feet wide, so each face has an area of 15 feet x 4 feet = 60 square feet. Since there are two of these faces, the total surface area for these faces is 2 x 60 = 120 square feet.
Finally, the rectangular portion removed from the center of the letter C has dimensions 15 feet tall x 7 feet wide, so its surface area is 15 feet x 7 feet = 105 square feet.
Adding all of these surface areas together, we get:
300 (front and back faces) + 20 (top and bottom faces) + 120 (arm-like faces) + 105 (removed portion) = 545 square feet
Therefore, the surface area of the letter C sculpture is 545 square feet.
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.2Skip to navigation
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