To find the surface area of the letter C, we need to find the surface area of each individual side and then add them all together.
1. Top and bottom sides:
Area = 10 feet * 1 foot = 10 square feet (x2 for top and bottom) = 20 square feet
2. Front and back sides:
Area = 15 feet * 1 foot = 15 square feet (x2 for front and back) = 30 square feet
3. Side of the letter C:
Area = (15 feet * 4 feet) + (7 feet * 4 feet) = 68 square feet
Total surface area of the letter C:
20 square feet (top and bottom) + 30 square feet (front and back) + 68 square feet (side) = 118 square feet
Therefore, the surface area of the letter C sculpture in Los Cabos, Mexico is 118 square feet.
Surface Area Unit Test
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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 answer
1 answer