Surface Area Unit Test

14 of 1514 of 15 Items

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

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.
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