Question

A triangular prism has a surface area of 192 ft^2. The area of the base is 6 square feet,and the perimeter of the base is 12 feet. What is the height of the prism?

a. 15.5 ft b. 28 ft c. 15 ft d. 17 ft.

Explain.

Thanks.

Answer 1

192=(6^2)h of the prism

Answer 2

Um, how did you get that?

Answer 3

i believe, i dont see what perimenter has to do with it

Answer 4

well the base is one side times the other if it is a square base

Answer 5

wait srry i thought is was area not surface hang on

Answer 6

Hmmm.

Answer 7

Let me calculate the height then based on what you told me.

Answer 8

I got h to be 5.33333333

Answer 9

ok hang onTriangular based prism

Base shape: Triangle: base 'b', height 'h', and sides S1, S2 and S3
Area of base: ½b×h
Perimeter of base: S1+ S2 + S3

So, the formula is
Surface area= 2*(area of base) + (base perimeter)*(prism height)
Or
Surface area = bh + (S1+ S2 + S3)H
where
b=Triangle base
h=Triangle height
S1=Side 1 of triangle
S2=Side 2 of triangle
S3=Side 3 of triangle
H=Prism height

Answer 10

does that help?

Answer 11

@dmezzullo

Answer 12

@AriPotta

Answer 13

@mzcandy216

Answer 14

@niduj1234

Answer 15

So, the formula is Surface area= 2*(area of base) + (base perimeter)*(prism height) Or Surface area = bh + (S1+ S2 + S3)H where b=Triangle base h=Triangle height S1=Side 1 of triangle S2=Side 2 of triangle S3=Side 3 of triangle H=Prism height the answer is B

Answer 16

You used the theorem?

Answer 17

yeah what did u want me 2 use

Answer 18

How did you use the theorem?

Answer 19

her formula is most accurate

Answer 20

I would like to know how you used the theorem to find the answer.

Answer 21

what theorem

Answer 22

you used the pythagorean theorrem yes?

Answer 23

no, that is with right triangles and neccesarily with this equation, why do u want to use it?

Answer 24

is this what ur looking 4

Answer 25

Triangular Prism Definition:
A Triangular Prism is a polyhedron made of a triangular base, a translated copy, and 3 faces joining corresponding sides.

Triangular Prism Formula :
Area of Base(A) = ½ * a * b
Perimeter of Base(P) = s1 + s2 + s3
Surface Area of Prism = ab + (s1 + s2 + s3)h = ab + Ph
Volume of Prism = ½ * a * b * h = Ah

Answer 26

I was just wondering how she/he got B.

Answer 27

Can you do a drawing working the problem out? I need to show work on the paper.

Answer 28

(Use the draw button)

Answer 29

okay

Answer 30

thanks.

Answer 31

can i hvae a medal mz?

Answer 32

Ummm..... I cannot give two medals on the same question.

Answer 33

well this what im going to im going to use an different equation were my numbers at u put ur numbers there

Answer 34

I cannot understand you.

Answer 35

im going to do another problem and u just put ur numbers in same format just different numbers

Answer 36

Ummm...Okay.

Answer 37

@UnkleRhaukus

Answer 38

@ivanmlerner

Answer 39

The base of a right triangular prism is a right triangle whose
legs are 3 inches and 4 inches. If the height of the prism
is 8 inches, find the Lateral Surface Area (LA) of the prism.We write the Pythagorean Theorem\[we use the pythgortherm c^2 =a^2+b^2,,,,,SUBMITE the legs of \triangle C^2=3(2) ,,,,,, the \square c^2=9+16 simpilfyc^2=25 the \square \root is 5 use sumin like this \to get threw ur promblem like i saud sub your problem \in and see if u get b like i d\]

Answer 40

I do not understand...

Answer 41

How do you find the height?

Answer 42

Base shape: Triangle: base 'b', height 'h', and sides S1, S2 and S3
Area of base: ½b×h
Perimeter of base: S1+ S2 + S3

So, the formula is
Surface area= 2*(area of base) + (base perimeter)*(prism height)
Or
Surface area = bh + (S1+ S2 + S3)H
where
b=Triangle base
h=Triangle height
S1=Side 1 of triangle
S2=Side 2 of triangle
S3=Side 3 of triangle
H=Prism height

Answer 43

Surface area= 2*(area of base) + (base perimeter)*(prism height

Answer 44

Thanks,Mzcandy. I got the answer to be C.

Answer 45

Taking the area of the bases from the total area get get 180 square foot.
Now, since the height is the same for all rectangles of the side, we get that the total area without the bases is:\[ah+bh+ch=180\]where a b and c are the sides of the base.\[(a+b+c)h=180\]But a+b+c is the perimeter given so:\[12h=180\]\[h=15\]

Answer 46

I believe this way its easier

Answer 47

Hmmm. Well, thqnks:)