To find the total surface area, we need to find the area of each individual face of the prism.
1. Two square faces: 10ft * 10ft = 100 ft^2 (top and bottom)
2. Three rectangular faces:
- Front and back faces: 10ft * 3ft = 30 ft^2
- Two side faces: 4ft * 3ft + 4ft * 5ft = 12ft + 20ft = 32 ft^2 (combined for both sides)
Total surface area = 100ft^2 (square faces) + 30ft^2 (front and back faces) + 32ft^2 (side faces)
Total surface area = 100ft^2 + 30ft^2 + 32ft^2 = 162ft^2
Correct response:
330 ft^2
Question
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
180 ft.2
180 ft. squared
410 ft.2
410 ft. squared
330 ft.2
330 ft. squared
370 ft.2
1 answer
1 answer