Question

What is the surface area of the composite figure? Round to the nearest tenth.

Answer 1

Answer:

2855.0

Step-by-step explanation:

there are several surface areas.

1. outside surface of the cylinder = circle circumference times height = 2*pi*r*height = 2*pi*14*14 = 1231.5

2. top and bottom of the cylinder = circle area times 2 = pi*r^2 * 2 = pi*14^2 *2 = also 1231.5

3. subtract the 2 cut out rectangles on the top and the bottom = 2* 6*14 = 168

4. add the areas of the inside walls of the cut out block.

there are 2 narrow rectangles = 2* 6*14 = 168

there are 2 squares = 2* 14*14 = 392

so, 1.+2.-3.+4. = 2855.0 (2855.00864...)