Question

Evan is painting a stool that has a cylindrical seat and four rectangular prism legs. The seat has a diameter of ten inches and a height of 3 inches. Each leg is 3 inches by 3 inches by 12 inches. How much area will Evan have to paint? Use three point one four for pi. Show your work.

Answer 1

@Barrelracer011

Answer 2

Surface Area of Cylinder :
= 2πrh + 2πr ²
= 2 x 3.14 x 5 x 3 + 2 x 3.14 x 5 ²
= 94.2 + 157
= 251.2 in. ²


Area of a rectanglar prism:
= 2lw + 2lh + 2wh
= 2 x 3 x 3 + 2 x 3 x 12 + 2 x 3 x 12
= 18 + 72 + 72
= 162 in. ²

Now multiply 162 by 4 = 648 in. ²

Now add the area of the cylider and the area of the four rectangular prisms:
251.2 + 648 = 899.2

The area of the stool is 899.2 in. ²