Question

What is the surface area? (I'm giving metals)

Answer 1

just find the area of each face and add them up

Answer 2

Notice that you have right triangles on front and back,
can you find the area of this right triangle ?

Answer 3

No. What represents what? There's too many formulas....

Answer 4

unfortunately yes there are many formulas, but for this problem, we only need to know two formulas for area :
1) area of triangle
2) area of rectangle

Answer 5

look at the given prism,
do u see any triangles at all ?

Answer 6

What are the formulas for those? Yea I see 2.

Answer 7

And 3 rectangles.

Answer 8

Very good :)
so whats the formula for area of triangle ?

Answer 9

THis?

Answer 10

Area of triangle = \(\large \dfrac{b\times h}{2}\)

\(\large b \) = 12
\(\large h\) = 5

plugin

Answer 11

yes :)

Answer 12

So it's 30.

Answer 13

Then I multiply by 2 since there's 2?

Answer 14

perfect ! and the back triangle also has same dimensions, so multiply by 2

Answer 15

yes !!

Answer 16

Okay and for the rectangle you multiply both of the lengths?

Answer 17

so area of triangular faces = 30 + 30 = 60

Answer 18

exactly !

Answer 19

what are the lengths of bottom rectangle ?

Answer 20

168

Answer 21

I got 70 for the little triangle.

Answer 22

*rectangle/

Answer 23

I added it all up and got 446

Answer 24

It's wrong....

Answer 25

how did u get 446 ?
and what about the top rectangle ?