Use the image to answer the question.
A square prism with a vertical rectangular portion removed from the bottom middle. The side of the square prism is 10 feet. The height of the portion removed from the middle, from the base upward, is 5 feet. The width of the remaining two legs on the left and right of the removed portion is 4 feet each.
A giant model of a magnet is being built for a museum exhibit. What is the total surface area of the prop that will need to be painted if the depth of the magnet is 3 feet?
(1 point)
Responses
370 ft.2
410 ft.2
330 ft.2
180 ft.2
The total surface area of the prop that will need to be painted can be calculated by finding the surface area of the original square prism and subtracting the area of the rectangular portion that was removed.
Surface area of original square prism = 2(10*10) + 4(10*3) + 10*3 = 200 + 120 + 30 = 350 ft.2
Surface area of removed portion = 5*4 + 4*5 = 20 + 20 = 40 ft.2
Total surface area = 350 - 40 = 310 ft.2
Therefore, the answer is not provided in the options given. The closest option is 330 ft.2.