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Lana71 [14]
3 years ago
9

Hello! How do I find the surface area of this prism? Thanks!

Mathematics
1 answer:
Studentka2010 [4]3 years ago
8 0
Answer: Choice C) 124 square cm

------------------------------------------------------------------

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.

------------

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
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The solution to the quadratic equation 2x² - 4x - 3 = 0 is x = 1 ± √2.5

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

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2x² - 4x - 3 = 0

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x² - 2x - 3/2 = 0

add 3/2 to both sides:

x² - 2x - 3/2 + 3/2 = 0 + 3/2

x² - 2x = 3/2

add the square of half the coefficient x to both sides:

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2 years ago
A shop sells newspapers for a profit of 0.5%. His sales for the month of January were $8341.50. How much of this is profit?
Doss [256]
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Percentage of profit for which the newspaper is sold = 0.5%
Then
Amount of profit made in the month of January = 0.5% * 8341.50 dollars
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So the shop makes a profit of $41.71 in the month of January by selling newspapers worth $8341.50. I hope the procedure is perfectly clear for you to understand.
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3 years ago
A worm wriggled forward 4/5 of an inch in 3 minutes. At that rate, how far would the worm go in 1 minute?
Thepotemich [5.8K]

Answer:

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D = (4/5)/3 = 4/(5x3) = 4/15 of an inch

Hope this helps!

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