To find the total surface area of the prop that needs to be painted, we need to calculate the surface area of each face of the magnet shape.
The total surface area can be calculated as follows:
Front and back faces: 10 ft x 5 ft = 50 ft² x 2 = 100 ft²
Side faces: 10 ft x 4 ft = 40 ft² x 2 = 80 ft²
Top and bottom faces: 5 ft x 4 ft = 20 ft² x 2 = 40 ft²
Total surface area = 100 ft² + 80 ft² + 40 ft² = 220 ft²
Since the depth of the magnet is 3 feet, we also need to paint the two sides with dimensions 10 ft x 3 ft and 4 ft x 3 ft:
10 ft x 3 ft = 30 ft² x 2 = 60 ft²
4 ft x 3 ft = 12 ft² x 2 = 24 ft²
Additional surface area = 60 ft² + 24 ft² = 84 ft²
Total surface area to be painted = 220 ft² + 84 ft² = 304 ft²
Therefore, the correct answer is not provided. The total surface area that needs to be painted is 304 ft².
The shape is 10 ft. 5 ft. 10 ft. 4 ft. 4 ft.
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?
A. 180 ft.²
B. 330 ft.²
C. 370 ft.²
D. 410 ft.²
1 answer
1 answer