C. 370 ft.²
The total surface area of the prop can be calculated by adding the area of each face of the shape.
2(10*5) + 2(10*4) + 2(5*4) = 100 + 80 + 40 = 220 ft²
Since the magnet has a depth of 3 ft., the top and bottom faces will each have an additional area of 10*4 = 40 ft².
Adding this to the original surface area:
220 + 2(40) = 220 + 80 = 300 ft²
Therefore, the total surface area of the prop that will need to be painted is 370 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
Pick one answer
1 answer