To calculate the surface area of the 3-dimensional vertical rectangular prism in the shape of the letter C, you need to find the surface area of each individual face and add them up.
Surface area of the front face (15 feet high, 10 feet wide):
15 feet * 10 feet = 150 square feet
Surface area of the top and bottom faces (10 feet wide, 1 foot deep):
10 feet * 1 foot = 10 square feet (for each face, so 20 square feet total)
Surface area of the two side faces (15 feet high, 1 foot deep):
15 feet * 1 foot = 15 square feet (for each face, so 30 square feet total)
However, we also need to account for the rectangular portion removed from the middle on the right side. Since it is 7 feet across and 15 feet high, the surface area of this portion would be 7 feet * 15 feet = 105 square feet.
Now we subtract this area from the total surface area we calculated earlier:
(150 + 20 + 30) - 105 = 95 square feet
Therefore, the surface area of the 3-dimensional vertical rectangular prism in the shape of the letter C is 95 square feet.
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 point)
ft.2
1 answer
1 answer