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)
To find the surface area of the letter C sculpture, we need to calculate the areas of all the visible faces of the rectangular prism.
First, calculate the area of the front face:
Height x Width = 15 ft x 10 ft = 150 sq ft
Next, calculate the area of the top face (the arm at the top):
Width x Depth = 10 ft x 1 ft = 10 sq ft
Then, calculate the area of the bottom face (the arm at the bottom):
Width x Depth = 10 ft x 1 ft = 10 sq ft
Finally, add the areas of all three faces together to get the total surface area of the letter C sculpture:
150 sq ft (front face) + 10 sq ft (top face) + 10 sq ft (bottom face) = 170 sq ft
Therefore, the surface area of the letter C sculpture is 170 square feet.