Question

Find the lateral area for the prism

Answer 1

This is easy now that we have done total area. Lateral Area is just total area without the sides, i.e. ph.

Answer 2

its a different problem

Answer 3

Okay, so you need p this time. How would you find the hypotenuse of the triangle? Do you know pythagoras' theorem?

Answer 4

yes, \[a^2 + b^2= c^2\]

Answer 5

Okay, so what's the hypotenuse of the triangle in this case?

Answer 6

hold on let me work it out real fast!

Answer 7

Okay.

Answer 8

7.21 for C it would be 4^2+6^2=c^2 right?

Answer 9

yep. But they want you to keep it in exact form, so keep it as a square root.

Answer 10

What is the perimeter then?

Answer 11

No, not quite. The perimeter of the triangle would be the sum of all the sides of the triangle.

Answer 12

And you'll want to keep the \[\sqrt{52}\] as it is.

Answer 13

okayy!! so the would the perimeter be 20??

Answer 14

Hm. No. 4 + 6 + sqrt(52)

Answer 15

that's the perimeter of the triangle at the top, which you're trying to find.

Answer 16

oh okay!!

Answer 17

And then what should you do next to get the lateral area?

Answer 18

times it by 8 because its perimeter times height and 8 is the height

Answer 19

Yupp. Well done :)

Answer 20

You're still not done though, what's your answer now?

Answer 21

10+80= sq. root of 52 (thats the form its wants in the book for the answer)

Answer 22

Hm. Not quite. Okay.

( 10 + sqrt(52) ) * 8 = 80 + 8 sqrt(52). That's the lateral area. Do you see why?

Answer 23

But you still have to simplify sqrt(52). Do you know how?

Answer 24

yes

Answer 25

Okay. Good, you should have your answer then :)