anonymous
  • anonymous
I have about 3 questions that need answer pretty quick. Please Help!
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
1. Calculate the surface area of this triangular prism. a. 255 m^2 b. 360 m^2 c. 468 m^2 d. 495 m^2
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anonymous
  • anonymous
Did u mean Total Surface Area?
anonymous
  • anonymous
Yes.

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anonymous
  • anonymous
First Try to find the base of the right angled triangle
anonymous
  • anonymous
Is the formula SA =2B +(s1+s2+s3)h
anonymous
  • anonymous
Use pythagorean theorem
anonymous
  • anonymous
How would I do that?
anonymous
  • anonymous
|dw:1362320690928:dw| then, 9^2 +x^2 =15^2
anonymous
  • anonymous
caCan't you just use the fact that the 12m on the bottom is parallel to the leg on the top?
anonymous
  • anonymous
Oh yes! u can use it
anonymous
  • anonymous
I still don't get it.
anonymous
  • anonymous
Now, u can directly use the formula mentioned above
anonymous
  • anonymous
But I don't know what the base is.
anonymous
  • anonymous
It is 12
anonymous
  • anonymous
So, Find the Area of the Base
anonymous
  • anonymous
Okay. how do we do that?
anonymous
  • anonymous
Area of traingle =1/2 base * height
anonymous
  • anonymous
so 6 * 10.
anonymous
  • anonymous
No
anonymous
  • anonymous
Then what is the height?
anonymous
  • anonymous
Base of the triangle is 12 and height is 9
anonymous
  • anonymous
so 6 * 9 = 54
anonymous
  • anonymous
54 is our base now?
anonymous
  • anonymous
Yes, thats the Area of the right angled triangle base
anonymous
  • anonymous
So SA =2(54) +(s1+s2+s3)h
anonymous
  • anonymous
Now, Total Surface Area = 2* Area of base +(s1+s2+s3) * height of the prism
anonymous
  • anonymous
The height of the prism is 10.
anonymous
  • anonymous
yes
anonymous
  • anonymous
SA =2(54) +(s1+s2+s3)10
anonymous
  • anonymous
How do we find the sides?
anonymous
  • anonymous
The sides are 9 , 12 and 15
anonymous
  • anonymous
Observe the figure
anonymous
  • anonymous
So, SA =2(54) +(9+12+15)10
anonymous
  • anonymous
very correct
anonymous
  • anonymous
The answer is 468
anonymous
  • anonymous
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anonymous
  • anonymous
Thank you. Do you think you can help me with two more?
anonymous
  • anonymous
welcome
anonymous
  • anonymous
Basically to find the surface area you would need to find the area of each individual 2 dimensional shape and add them together.
anonymous
  • anonymous
2. What is the approximate length of the lateral surface for the cylinder shown here in net form? a. 31.4 in b. 62.8 in c. 78.5 in d. 376.8 in
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anonymous
  • anonymous
31.4 is the circumference of the circle.
anonymous
  • anonymous
Hello?
anonymous
  • anonymous
Would I multiply that by 12?
anonymous
  • anonymous
The circumference is 31.4 which is the same lateral surface of the rectangle so you already got your answer.
anonymous
  • anonymous
the same as the *
anonymous
  • anonymous
Okay, thanks. Can you help me with one more?
anonymous
  • anonymous
sure
anonymous
  • anonymous
Canned fruits, vegetables, and soups have labels on the curved surface of the metal container. What is the surface area of the label on this can? That is, what is the can's lateral area? a. 88 cm^2 b. 401.92 cm^2 c. 552.64 cm^2 d. 954.64 cm^2
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anonymous
  • anonymous
Oh is it 552.64^2?
anonymous
  • anonymous
You would find the circumference of the circle and you would multiply it by 11. the
anonymous
  • anonymous
The circumfrence is, 50.24
anonymous
  • anonymous
Multiplied by 11 is, 552.64
anonymous
  • anonymous
ya you go the right answer
anonymous
  • anonymous
Thank-you. You made it so much clearer. :)
anonymous
  • anonymous
no problem
anonymous
  • anonymous
I think that is all, should I close this?
anonymous
  • anonymous
well if i you have no more questions needed answered i suppose :P gl with your maths

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