Answer:
3. [tex]384\ square\ inches[/tex]
Step-by-step explanation:
To solve this, find the areas of the smaller geometric shapes and add them together.
1. Rectangle (top)
[tex]A_1 = lw = 20 * 5 = 100[/tex]
2. Rectangle (middle)
[tex]A_2 = lw = 20 * 8 = 160[/tex]
3. Rectangle (bottom)
[tex]A_3 = lw = 20 * 5 = 100[/tex]
4. Triangle (left)
[tex]A_4 = \frac{bh}{2} = \frac{8*3}{2} = \frac{24}{2} = 12[/tex]
4. Triangle (right)
[tex]A_5 = \frac{bh}{2} = \frac{8*3}{2} = \frac{24}{2} = 12[/tex]
Add the areas together for the total surface area.
[tex]A_t = 100 + 160 + 100 + 12 + 12 = 384[/tex]
