## Faman39 Group Title You are making poster board boundary markers in the shape of square pyramids for a relay race. If you are including a 12 -inch square as the bottom and you want the slant height to be 14 inches, how much poster board do you need? 252 in2 420 in2 480 in2 532 in2 one year ago one year ago

1. Faman39 Group Title

@UnkleRhaukus can you able to help me ?

2. UnkleRhaukus Group Title

|dw:1352387741795:dw|

3. Faman39 Group Title

I still cant get this, can you able go in bit detail ?

4. UnkleRhaukus Group Title

can you see how i flattened all the surfaces a plane?

5. Faman39 Group Title

Yes

6. UnkleRhaukus Group Title

you have a square , and four big triangles,

7. Faman39 Group Title

ok

8. UnkleRhaukus Group Title

the area of a square is the side length squared the area of a triangle is half of the base times the height

9. Faman39 Group Title

Are we gonna....multiply 14 and 12?

10. Faman39 Group Title

i am sorry i am totally talking wrong

11. UnkleRhaukus Group Title

yes the base of the triangles is 12 and they have a height of 14 , the area of each tringle is half these multiplied together

12. Faman39 Group Title

but i got 168 ? :(

13. UnkleRhaukus Group Title

how?

14. Faman39 Group Title

I do not know, probably i m doing wrong i know :(

15. Faman39 Group Title

that must be for it

16. UnkleRhaukus Group Title

what did you get for the area of the square? and what did you get fo the area of each triangle ?

17. Faman39 Group Title

i multiply 14 with 12 :(

18. UnkleRhaukus Group Title

the area of a triangle is HALF of the base times the height

19. Faman39 Group Title

so half * 14 * 12

20. UnkleRhaukus Group Title

what do you get?

21. Faman39 Group Title

84 :(

22. UnkleRhaukus Group Title

right so , one triangle is 84 in^2 what is the area of the square

23. Faman39 Group Title

12?

24. UnkleRhaukus Group Title

the area of a square is the side length squared $12^2=$

25. Faman39 Group Title

14 ?

26. Faman39 Group Title

27. UnkleRhaukus Group Title

$12^2=12\times12=$

28. Faman39 Group Title

144

29. UnkleRhaukus Group Title

right

30. UnkleRhaukus Group Title

the total area is made up of 4 triangles and one square ,

31. Faman39 Group Title

So we divide 4 with 144 ?

32. UnkleRhaukus Group Title

add the area of the square to four times the area of the triangle

33. Faman39 Group Title

Still not getting any correct point

34. Faman39 Group Title

i am so sorry, i m horrible that i m getting wrong answer

35. Faman39 Group Title

144 * 12 * 4 ?

36. UnkleRhaukus Group Title

$A_{\text{square}}=12 [\text{in}]\times12 [\text{in}]=144 [\text{in}]^2$ $A_{\text{triangle}}=\frac{14 [\text{in}]\times12 [\text{in}]}2=84 [\text{in}]^2$ $SA_{\text{square pyramid}}=A_{\text{square}}\quad+\quad4\times A_{\text{triangle}}$

37. Faman39 Group Title

Thank you so so much @UnkleRhaukus, your so awesome and genius!!!!!

38. Faman39 Group Title

thanks alot! And i m sorry for troubling :(

39. Faman39 Group Title

i know, i m totally pain, cuz i barely understand thing

40. UnkleRhaukus Group Title

i hope it makes some sense now, can you tell me how much poster board do you need?

41. Faman39 Group Title

480 in2

42. UnkleRhaukus Group Title

$\color\red\checkmark$

43. Faman39 Group Title

Thank you so much @UnkleRhaukus !!! your too great!!!!!!