Question

A giant model of a magnet is being built for amusing exhibit. What is the total surface area of the prop that will need to be painted if the depth of the magnet is three feet

Answer 1

To find the total surface area of the magnet prop, we need to consider both the front and back surfaces of the magnet, as well as the sides.

Since the magnet is in the shape of a rectangular prism, the surface area can be calculated using the formula:

Surface Area = 2lw + 2lh + 2wh

where l is the length, w is the width, and h is the height of the magnet prop.

Given that the depth (height) of the magnet is 3 feet, we need to determine the length and width of the magnet. Let's assume the length of the magnet is 10 feet and the width is 5 feet.

Now, we can calculate the total surface area:

Surface Area = 2(10*5) + 2(10*3) + 2(5*3)
Surface Area = 2(50) + 2(30) + 2(15)
Surface Area = 100 + 60 + 30
Surface Area = 190 square feet

Therefore, the total surface area of the magnet prop that will need to be painted is 190 square feet.