Answer: Choice C) 124 square cm
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Explanation:
Let's calculate the area of the trapezoid shown
b1 and b2 are the parallel bases; h is the height of the 2D trapezoid
b1 = 2
b2 = 5
h = 1.5
A = h*(b1+b2)/2
A = 1.5*(2+5)/2
A = 1.5*7/2
A = 10.5/2
A = 5.25
The area of one 2D trapezoid is 5.25 sq cm
There are two of these trapezoids that form the base faces of the trapezoidal prism. So the total base area is 2*5.25 = 10.5 sq cm
Keep this value (10.5) in mind. We'll use it later.
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Now onto the lateral surface area (LSA)
It turns out that the formula for the LSA is
LSA = p*d
where
p = perimeter of the trapezoid shown
d = depth or height of the 3D trapezoid (I'm not using h as it was used earlier)
This formula works for any polygonal base. It doesn't have to be a trapezoid.
In this case the perimeter is,
p = 1.7+2+2.65+5
p = 11.35
So
LSA = p*d
LSA = 11.35*10
LSA = 113.5
Add this LSA to the base area found earlier
10.5+113.5 = 124
The total surface area is 124 square cm
There is no image, but I can help you by telling you what an acute angle is:
An acute angle is any angle that has a measure LESS then 90 degrees
Hope this helped!
~Just a girl in love with Shawn Mendes
Answer:
1. A TUNNEL WITH LEAKS
2. A BIG ELECTRIC BILL
Step-by-step explanation:
H = 60
A = 20
W = 7
S = 26
E = 62
U = 22
B = 100
G = 8
R = 5
T = 0
K = 24
N = 81
C = 90
I = 32
L = 1
There you have it.....
Answer:
The first one
Scale factor is 7
x = 3
The second one
Scale factor is 9
x = 99
Step-by-step explanation:
The first one
You can find out by dividing 49 by 7 which is 7
to find x = 21 divided by 7 is 3
The second one
You can find out by dividing 162 by 18 which is 9
to find x = 11 multiplied by 9 (since it is "opposite") is 99
