Question

A triangular prism has a triangular base with dimensions of 3” by 4” by 5” and a volume of 210in^3. What is the surface area of the triangularity prism?

Answer 1

No, your incorrect.

Answer 2

Your finding the surface area. What you said is the volume of the prism.

Answer 3

oh

Answer 4

So, the 3, 4, 5 can be any side. Base side a, base side b, base side c, and height.

Answer 5

i used (Perimeter of the base × Length of the prism) + (2 × Base Area) = (S1 + S2+ S3)L + bh

Answer 6

So two bases are the same length.

Answer 7

Wait, nevermind.

Answer 8

I didn't read the whole question. The whole base is 3,4,5 inches.

Answer 9

We need to find height.

Answer 10

Our values are;

Volume - 210^3
Bases - 3,4,5

Answer 11

So, we add the basses, 3,4,5 to get 12.

Answer 12

Then we have to do some calculations with 12 and the volume (210^3).

Answer 13

wait i know how to get it the height is three times the volume, divided by the base's area.

Answer 14

\[h=\frac{ A _{lat} }{ (a+b+c) }\]

Answer 15

The formula for the volume of a pyramid is V = (bh) / 3, where b is the area of the base, and h is the pyramid's height. Re-work the equation to solve for h: h = 3V / b.

Answer 16

No, RP, your actually wrong. With how it has to be done.

Answer 17

I did the calculations that way and it gave me a wrong answer.

Answer 18

oh thats just how i remember it

Answer 19

\[h=\frac{ A _{lat} }{ (3+4+5) }\]
\[h=A _{lat}(12)\]
\[h=210^3(12)\]
\[h=420\div12 = ?\]

Answer 20

So what is 420/12 ?

Answer 21

My bad, 432, not 420.

Answer 22

So 432 divided by 12 is... what, @dominicky

Answer 23

36

Answer 24

yea good job

Answer 25

Correct. So that is your height. I switched things up on accident and did the surface area divided by base and not height times base, my bad. But your final answer for surface area is 432in^2.

Answer 26

@dominicky you should give him best response

Answer 27

I did thank you so much

Answer 28

You're welcome!