Alright let's solve this step by step:
Question 1: Find the perimeter of the base
- Definition of Perimeter: is all the side length of the shapes added up
⇒ Perimeter = 6 + 6 + 6 + 6 + 6 + 6 + 11 + 11 = 58 km
Question 2: Height of Prism
- Definition of height: is the distance from the base of the figure to the top base of the figure
⇒ Height = 4.3km
Question 3: Lateral Area
- Definition of Lateral Area: area of nonbase face only
⇒ area of the two rectangles on the narrower side of the figure
⇒ plus the area of the pentagon on the wider side of the figure
= [tex]\frac{1}{2}(base1+base2)*height = \frac{1}{2} *(6 + 11) *4.3=36.55km^2[/tex]
- Area of Rectangle = 6 * 5 = 30 km^2
Total Area = 36.55 + 36.55 + 30 +30 = 133.1 km^2
Question 4: Find the area of the base
Area of the two bases = 6 * 6 + 6 * 11 = 36 + 66 = 102 km^2
Question 5: Find the surface area of the figure
- Definition of the Surface Area: it is a measure of the total area that the surface of the object occupies
⇒ Surface Area = Lateral Area + Base area = 133.1 + 102 = 205.1 km^2
Hope that helps!
