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 answer

In order to calculate the total surface area of the prop, we can treat the giant model of a magnet as a rectangular prism with dimensions 3 feet by 3 feet by 3 feet (depth x width x height).

First, let's calculate the surface areas of the individual faces of the prism:

- The front and back faces: 3 feet x 3 feet = 9 square feet each, for a total of 18 square feet.
- The top and bottom faces: 3 feet x 3 feet = 9 square feet each, for a total of 18 square feet.
- The left and right faces: 3 feet x 3 feet = 9 square feet each, for a total of 18 square feet.

Now, we can calculate the total surface area of the prop by adding up all the individual face areas:

18 square feet (front and back) + 18 square feet (top and bottom) + 18 square feet (left and right) = 54 square feet

Therefore, the total surface area of the prop that will need to be painted is 54 square feet.