To find the total surface area of the magnet prop, we first need to find the surface area of each individual side and then add them all together.
Surface area of each side:
1. 6 in. x 2 in. = 12 in²
2. 2 in. x 3 in. = 6 in² (two sides like this)
3. 6 in. x 3 in. = 18 in²
4. 11 in. x 3 in. = 33 in²
5. 3 in. x 11 in. = 33 in²
Adding all the surface areas together:
12 + 6 + 6 + 18 + 33 + 33 = 108 in²
Since the depth of the magnet is 3 feet, we need to convert the units to the same before adding the total surface area:
3 ft x 12 in/ft = 36 in
Adding the total surface area of the sides to the ends (2 x 108 in²) + (36 in² x 2 ends) = 216 in² + 72 in² = 288 in²
Therefore, the correct answer is not listed, but the closest would be:
C. 228 in.²
The shape is 6 in. 2 in. 3 in. 11 in. 3 in.
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. 120 in.²
B. 222 in.²
C. 228 in.²
D. 234 in.²
1 answer
1 answer