Question

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

Answer 1

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

Answer 2

ok

Answer 3

6.4, not 6...sorry

Answer 4

how do you draw something

Answer 5

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

Answer 6

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

Answer 7

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?

Answer 8

yes

Answer 9

nothing shows up

Answer 10

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

Answer 11

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

Answer 12

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

Answer 13

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

Answer 14

Let's do the triangle faces first.

Answer 15

where is it at when u clicked it in the center

Answer 16

and ok

Answer 17

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.

Answer 18

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

Answer 19

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.

Answer 20

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)?

Answer 21

yea

Answer 22

then just add them all up?

Answer 23

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

Answer 24

You got it.

Answer 25

youre freakin smart man

Answer 26

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