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 first need to calculate the surface area of the rectangular prism without the removed portion.
Surface area of a rectangular prism = 2lw + 2lh + 2wh
= 2(10*1) + 2(10*15) + 2(1*15)
= 20 + 300 + 30
= 350 square feet
Now, since the portion removed is a rectangle with dimensions 7 feet by 4 feet, its surface area is:
Surface area of removed portion = 7*4
= 28 square feet
Therefore, the surface area of the letter C sculpture is the surface area of the rectangular prism minus the surface area of the portion removed:
Surface area of C sculpture = 350 - 28
= 322 square feet
So, the surface area of the letter C sculpture in Los Cabos, Mexico, is 322 square feet.