I have about 3 questions that need answer pretty quick. Please Help!

- anonymous

I have about 3 questions that need answer pretty quick. Please Help!

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- 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

Did u mean Total Surface Area?

- anonymous

Yes.

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- anonymous

First Try to find the base of the right angled triangle

- anonymous

Is the formula SA =2B +(s1+s2+s3)h

- anonymous

Use pythagorean theorem

- anonymous

How would I do that?

- anonymous

|dw:1362320690928:dw| then,
9^2 +x^2 =15^2

- anonymous

caCan't you just use the fact that the 12m on the bottom is parallel to the leg on the top?

- anonymous

Oh yes! u can use it

- anonymous

I still don't get it.

- anonymous

Now, u can directly use the formula mentioned above

- anonymous

But I don't know what the base is.

- anonymous

It is 12

- anonymous

So, Find the Area of the Base

- anonymous

Okay. how do we do that?

- anonymous

Area of traingle =1/2 base * height

- anonymous

so 6 * 10.

- anonymous

No

- anonymous

Then what is the height?

- anonymous

Base of the triangle is 12 and height is 9

- anonymous

so 6 * 9 = 54

- anonymous

54 is our base now?

- anonymous

Yes, thats the Area of the right angled triangle base

- anonymous

So SA =2(54) +(s1+s2+s3)h

- anonymous

Now,
Total Surface Area = 2* Area of base +(s1+s2+s3) * height of the prism

- anonymous

The height of the prism is 10.

- anonymous

yes

- anonymous

SA =2(54) +(s1+s2+s3)10

- anonymous

How do we find the sides?

- anonymous

The sides are 9 , 12 and 15

- anonymous

Observe the figure

- anonymous

So, SA =2(54) +(9+12+15)10

- anonymous

very correct

- anonymous

The answer is 468

- anonymous

\[\checkmark\]

- anonymous

Thank you. Do you think you can help me with two more?

- anonymous

welcome

- 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

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

31.4 is the circumference of the circle.

- anonymous

Hello?

- anonymous

Would I multiply that by 12?

- anonymous

The circumference is 31.4 which is the same lateral surface of the rectangle so you already got your answer.

- anonymous

the same as the *

- anonymous

Okay, thanks. Can you help me with one more?

- anonymous

sure

- 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

Oh is it 552.64^2?

- anonymous

You would find the circumference of the circle and you would multiply it by 11. the

- anonymous

The circumfrence is, 50.24

- anonymous

Multiplied by 11 is, 552.64

- anonymous

ya you go the right answer

- anonymous

Thank-you. You made it so much clearer. :)

- anonymous

no problem

- anonymous

I think that is all, should I close this?

- anonymous

well if i you have no more questions needed answered i suppose :P gl with your maths

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