Question

Evan is painting a stool that has a cylindrical seat and four rectangular prism legs. The seat has a diameter of 12 and a height of 2. Each leg is 3 inches by 3 inches by 14 inches. How much area will Evan have to paint?

Answer 1

1. Area of the cylinder seat - 2(pi*14^2)/4 + (pi*14)*4) - (Do your own work to show this is 483.56)

2. Area of the 4 legs = 4{ 2*4*4 + 4*4*18} - (Do your own work to show this is 1280.)

3. The 'tricky part' - Evan doesn't need to paint the area on the seat covered by the ends of the legs (nor those ends either) This (total) area will be 2 * 4 * 4*4 = 128

4. Add the first two, subtract the third - - You should get 1635.56.

Answer 2

Thanks so much for your help!

Answer 3

My Pleasure.