Question

find the surface area of the composite figure. 10 cm 5 cm saupper = 260 cm² 7 cm salower = 332 cm² satotal = ? cm² 5 cm 13 cm 7 cm remember! exclude areas where complex shapes touch.

Explanation:

Step1: Identify the key - surface - area concept

The total surface area of the composite figure is the sum of the surface areas of the upper and lower parts, but we need to exclude the overlapping area. Since the overlapping area is counted twice when we simply add the surface areas of the two parts separately, and when we are given the surface areas of the upper and lower parts already adjusted for non - overlapping calculation, we can directly add them.

Step2: Calculate the total surface area

$SA_{total}=SA_{upper}+SA_{lower}$
$SA_{total}=260 + 332$

Answer:

$592$