Question

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

Answer 1

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

Answer 2

Did u mean Total Surface Area?

Answer 3

Yes.

Answer 4

First Try to find the base of the right angled triangle

Answer 5

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

Answer 6

Use pythagorean theorem

Answer 7

How would I do that?

Answer 8

then,
9^2 +x^2 =15^2

Answer 9

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

Answer 10

Oh yes! u can use it

Answer 11

I still don't get it.

Answer 12

Now, u can directly use the formula mentioned above

Answer 13

But I don't know what the base is.

Answer 14

It is 12

Answer 15

So, Find the Area of the Base

Answer 16

Okay. how do we do that?

Answer 17

Area of traingle =1/2 base * height

Answer 18

so 6 * 10.

Answer 19

No

Answer 20

Then what is the height?

Answer 21

Base of the triangle is 12 and height is 9

Answer 22

so 6 * 9 = 54

Answer 23

54 is our base now?

Answer 24

Yes, thats the Area of the right angled triangle base

Answer 25

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

Answer 26

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

Answer 27

The height of the prism is 10.

Answer 28

yes

Answer 29

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

Answer 30

How do we find the sides?

Answer 31

The sides are 9 , 12 and 15

Answer 32

Observe the figure

Answer 33

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

Answer 34

very correct

Answer 35

The answer is 468