find the Total Are for the Prism

(L.A is (80 + 16 √13)

Question

find the Total Are for the Prism

(L.A is (80 + 16 √13)

sagewilson · Answer

attachment

sagewilson · Answer

@TuringTest

sagewilson · Answer

@Nnesha

sagewilson · Answer

@campbell_st @jim_thompson5910

tabdo1226 · Answer

tabdo1226 · Answer

please help

rizags · Answer

Total Area, you mean Surface Area Right?

sagewilson · Answer

Yes

rizags · Answer

SA = wh + lw + lh + ls, where 
w = width
h = height
l = length
s = side

rizags · Answer

|dw:1428972059116:dw|

campbell_st · Answer

1st task is to find the missing side of the right triangle 

|dw:1428971855218:dw|

then you can start to find the area of each face

rizags · Answer

that is for a right triangular prism, like yours

rizags · Answer

@campbell_st i dont think you need that missing side, because to find the area of the triangle, you dont need that side

rizags · Answer

oh but yes, you do to find the rectangle, sorry

sagewilson · Answer

would it be 4^2 + 6^2 = the Surface Area?

sagewilson · Answer

no wait, the answer is supposed to be

? + ? - ? √

sagewilson · Answer

@satellite73

sagewilson · Answer

@dan815

anonymous · Answer

No, you are using that just to find the length of the diagonal.

anonymous · Answer

$$
4^2+6^2=(?)^2
$$

sagewilson · Answer

4^2 would be 16 and 6^2 would be 36 which would be 52. I'm not sure how to put that into a power of 2 form

anonymous · Answer

$$
\sqrt{52} = \sqrt{4 \cdot  13} = 2\sqrt{13}
$$

anonymous · Answer

This is good enough for the problem.

anonymous · Answer

Now we can start calculating areas for the surfaces

sagewilson · Answer

Okay so how would I find the surface area?

anonymous · Answer

You want to number each face

anonymous · Answer

There are two triangle faces and 3 rectangular faces

anonymous · Answer

Solve the area for each one, and add them all up