## anonymous 5 years ago it gives me a right triangle prism, i guess, the height is 6.4 the base is 2 and the line at the top of the hypotenuse is 2.9. find the surface area

1. anonymous

I'm going to send a pic. Tell me if this is what you have.

2. anonymous

ok

3. anonymous

4. anonymous

6.4, not 6...sorry

5. anonymous

how do you draw something

6. anonymous

I just go into 'paint' in windows, then save it on the desktop, then click 'attach file' below, attach and post.

7. anonymous

If it's what I think it is, it isn't 'hard', just finicky.

8. anonymous

It comes down to the same principle we used to solve the last problem. You have faces that are shapes you already know the area of. You just break the surface area down into those shapes. Are you drawing something?

9. anonymous

yes

10. anonymous

11. anonymous

nothing shows up

12. anonymous

Ah, okay, yes, something did come through - I just had to magnify your atom of a picture, lol!

13. anonymous

how do u magnify and it was pretty big when i made it

14. anonymous

I'm thinking the hardest part for you is the triangular face?

15. anonymous

I use Google Chrome, and it opens in a new page with a little magnifying icon.

16. anonymous

Let's do the triangle faces first.

17. anonymous

where is it at when u clicked it in the center

18. anonymous

and ok

19. anonymous

You have two right-angled triangles. These have a height of 6.4 and base 2. The area of any triangle is $\frac{1}{2}(base)(perpendicular.height)$Luckily, perpendicular height is the height of a right-angled triangle. So your area is$\frac{1}{2} \times 2 \times 6.4=6.4$You have two of these, one on the top, one on the bottom.

20. anonymous

So the area of the triangular faces is 2 x 6.4 = 12.8. Put this aside and tackle the faces on the side.

21. anonymous

These are just rectangles. Each has dimensions 6.4 x 2.9 = 18.56. Again, you have two of these, so your area for the side-on rectangular faces is 2 x 18.56 = 37.12.

22. anonymous

Now all you gave left is the base. It is rectangular and has dimensions, 2 x 2.9 = 5.8. Can you see how the side length of the base is the same as the length of the prism at the top (where you've written 2.9)?

23. anonymous

yea

24. anonymous

then just add them all up?

25. anonymous

The total area is just the sum of these separate areas:$12.8 + 18.56+5.8=37.16$square units.

26. anonymous

You got it.

27. anonymous

youre freakin smart man

28. anonymous

You picked it up, so you're doing alright too ;)