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 up.
1. Surface area of the front face:
Height x Width = 15 feet x 10 feet = 150 ft²
2. Surface area of the bottom face:
Width x Depth = 10 feet x 1 foot = 10 ft²
3. Surface area of the two remaining arms:
2 x (Height x Width) = 2 x (4 feet x 7 feet) = 2 x 28 ft² = 56 ft²
Total surface area:
150 ft² (front face) + 10 ft² (bottom face) + 56 ft² (two remaining arms) = 216 ft²
The total surface area of the letter C sculpture is 216 ft².
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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