Answer:
[tex]Surface\ Area = 179.25cm^2[/tex]
Step-by-step explanation:
Given
See attachment for figure
Required
Determine the surface area
To do this, we calculate the surface area of each individual shape.
For the semicircle.
[tex]Area = \frac{1}{2}\pi r^2[/tex]
Here, the diameter (D) is given
[tex]D = 10cm[/tex]
The radius is:
[tex]r = \frac{1}{2}D[/tex]
[tex]r = \frac{1}{2}*10cm[/tex]
[tex]r= 5cm[/tex]
So, the area is:
[tex]Area = \frac{1}{2} * 3.14 * (5cm)^2[/tex]
[tex]Area = \frac{1}{2} * 3.14 * 25cm^2[/tex]
[tex]Area = 39.25cm^2[/tex]
For the triangle, the area is:
[tex]Area = \frac{1}{2}bh[/tex]
[tex]Area = \frac{1}{2} * 10cm * 8cm[/tex]
[tex]Area = 40cm^2[/tex]
For the rectangle
[tex]Area = Length * Width[/tex]
[tex]Area = 20cm * 5cm[/tex]
[tex]Area = 100cm^2[/tex]
So, the surface area is:
[tex]Surface\ Area = 39.25cm^2 + 40cm^2 + 100cm^2[/tex]
[tex]Surface\ Area = 179.25cm^2[/tex]
