QuestionsWolf
I have about 3 questions that need answer pretty quick. Please Help!
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QuestionsWolf
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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
sauravshakya
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Did u mean Total Surface Area?
QuestionsWolf
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Yes.
sauravshakya
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First Try to find the base of the right angled triangle
QuestionsWolf
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Is the formula SA =2B +(s1+s2+s3)h
sauravshakya
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Use pythagorean theorem
QuestionsWolf
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How would I do that?
sauravshakya
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|dw:1362320690928:dw| then,
9^2 +x^2 =15^2
SeanAcedia
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caCan't you just use the fact that the 12m on the bottom is parallel to the leg on the top?
sauravshakya
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Oh yes! u can use it
QuestionsWolf
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I still don't get it.
sauravshakya
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Now, u can directly use the formula mentioned above
QuestionsWolf
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But I don't know what the base is.
sauravshakya
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It is 12
sauravshakya
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So, Find the Area of the Base
QuestionsWolf
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Okay. how do we do that?
sauravshakya
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Area of traingle =1/2 base * height
QuestionsWolf
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so 6 * 10.
sauravshakya
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No
QuestionsWolf
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Then what is the height?
sauravshakya
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Base of the triangle is 12 and height is 9
QuestionsWolf
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so 6 * 9 = 54
QuestionsWolf
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54 is our base now?
sauravshakya
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Yes, thats the Area of the right angled triangle base
QuestionsWolf
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So SA =2(54) +(s1+s2+s3)h
sauravshakya
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Now,
Total Surface Area = 2* Area of base +(s1+s2+s3) * height of the prism
QuestionsWolf
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The height of the prism is 10.
sauravshakya
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yes
QuestionsWolf
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SA =2(54) +(s1+s2+s3)10
QuestionsWolf
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How do we find the sides?
sauravshakya
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The sides are 9 , 12 and 15
sauravshakya
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Observe the figure
QuestionsWolf
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So, SA =2(54) +(9+12+15)10
sauravshakya
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very correct
QuestionsWolf
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The answer is 468
sauravshakya
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\[\checkmark\]
QuestionsWolf
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Thank you. Do you think you can help me with two more?
sauravshakya
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welcome
SeanAcedia
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Basically to find the surface area you would need to find the area of each individual 2 dimensional shape and add them together.
QuestionsWolf
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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
QuestionsWolf
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31.4 is the circumference of the circle.
QuestionsWolf
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Hello?
QuestionsWolf
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Would I multiply that by 12?
SeanAcedia
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The circumference is 31.4 which is the same lateral surface of the rectangle so you already got your answer.
SeanAcedia
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the same as the *
QuestionsWolf
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Okay, thanks. Can you help me with one more?
SeanAcedia
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sure
QuestionsWolf
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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
QuestionsWolf
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Oh is it 552.64^2?
SeanAcedia
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You would find the circumference of the circle and you would multiply it by 11. the
QuestionsWolf
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The circumfrence is, 50.24
QuestionsWolf
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Multiplied by 11 is, 552.64
SeanAcedia
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ya you go the right answer
QuestionsWolf
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Thank-you. You made it so much clearer. :)
SeanAcedia
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no problem
QuestionsWolf
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I think that is all, should I close this?
SeanAcedia
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well if i you have no more questions needed answered i suppose :P gl with your maths