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1 answer:
The surface area of the first figure is 160.
The net of the second figure is attached, and the surface area is 408.
To find the surface area of the first figure, we find the area of the base:
10*10 = 100
Now we find the area of each of the 4 lateral faces (triangles):
A=1/2bh = 1/2(3)(10) = 15
The total is 100+15(4) = 160
To find the surface area of the second figure, find the area of the bases (triangles):
A=1/2bh = 1/2(6)(8)= 24
The area of the bottom lateral face is 15*6 = 90.
The area of the slanted lateral face is 15*10 = 150.
The area of the vertical lateral face is 15*8 = 120.
Together we have 24(2) + 90 + 150 + 120 = 408.
The net of the second figure is attached, and the surface area is 408.
To find the surface area of the first figure, we find the area of the base:
10*10 = 100
Now we find the area of each of the 4 lateral faces (triangles):
A=1/2bh = 1/2(3)(10) = 15
The total is 100+15(4) = 160
To find the surface area of the second figure, find the area of the bases (triangles):
A=1/2bh = 1/2(6)(8)= 24
The area of the bottom lateral face is 15*6 = 90.
The area of the slanted lateral face is 15*10 = 150.
The area of the vertical lateral face is 15*8 = 120.
Together we have 24(2) + 90 + 150 + 120 = 408.
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Answer:
Step-by-step explanation:
<h3> Since the figure is not attached, below you can see a general explanation of the procedure to solve the exercise: </h3>For this exercise you can apply the following formula, which is used to calculate the area of a trapezoid:
Where "B" and "b" are the bases of the trapezoid and "h" is the height.
So, substituting values into the formula and evaluating, you can find the area of trapezoid-shaped region.
Since the population in the trapezoid-shaped region is about 3,000 people, you can find the number of people per square mile dividing the population by the area of the region.
Then, the following expression represents the number of people per square mile in that region: