Faman39
  • Faman39
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
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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Faman39
  • Faman39
@UnkleRhaukus can you able to help me ?
UnkleRhaukus
  • UnkleRhaukus
|dw:1352387741795:dw|
Faman39
  • Faman39
I still cant get this, can you able go in bit detail ?

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More answers

UnkleRhaukus
  • UnkleRhaukus
can you see how i flattened all the surfaces a plane?
Faman39
  • Faman39
Yes
UnkleRhaukus
  • UnkleRhaukus
you have a square , and four big triangles,
Faman39
  • Faman39
ok
UnkleRhaukus
  • UnkleRhaukus
the area of a square is the side length squared the area of a triangle is half of the base times the height
Faman39
  • Faman39
Are we gonna....multiply 14 and 12?
Faman39
  • Faman39
i am sorry i am totally talking wrong
UnkleRhaukus
  • UnkleRhaukus
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
Faman39
  • Faman39
but i got 168 ? :(
UnkleRhaukus
  • UnkleRhaukus
how?
Faman39
  • Faman39
I do not know, probably i m doing wrong i know :(
Faman39
  • Faman39
that must be for it
UnkleRhaukus
  • UnkleRhaukus
what did you get for the area of the square? and what did you get fo the area of each triangle ?
Faman39
  • Faman39
i multiply 14 with 12 :(
UnkleRhaukus
  • UnkleRhaukus
the area of a triangle is HALF of the base times the height
Faman39
  • Faman39
so half * 14 * 12
UnkleRhaukus
  • UnkleRhaukus
what do you get?
Faman39
  • Faman39
84 :(
UnkleRhaukus
  • UnkleRhaukus
right so , one triangle is 84 in^2 what is the area of the square
Faman39
  • Faman39
12?
UnkleRhaukus
  • UnkleRhaukus
the area of a square is the side length squared \[12^2=\]
Faman39
  • Faman39
14 ?
Faman39
  • Faman39
sorry about that
UnkleRhaukus
  • UnkleRhaukus
\[12^2=12\times12=\]
Faman39
  • Faman39
144
UnkleRhaukus
  • UnkleRhaukus
right
UnkleRhaukus
  • UnkleRhaukus
the total area is made up of 4 triangles and one square ,
Faman39
  • Faman39
So we divide 4 with 144 ?
UnkleRhaukus
  • UnkleRhaukus
add the area of the square to four times the area of the triangle
Faman39
  • Faman39
Still not getting any correct point
Faman39
  • Faman39
i am so sorry, i m horrible that i m getting wrong answer
Faman39
  • Faman39
144 * 12 * 4 ?
UnkleRhaukus
  • UnkleRhaukus
\[A_{\text{square}}=12 [\text{in}]\times12 [\text{in}]=144 [\text{in}]^2\] \[A_{\text{triangle}}=\frac{14 [\text{in}]\times12 [\text{in}]}2=84 [\text{in}]^2\] \[SA_{\text{square pyramid}}=A_{\text{square}}\quad+\quad4\times A_{\text{triangle}}\]
Faman39
  • Faman39
Thank you so so much @UnkleRhaukus, your so awesome and genius!!!!!
Faman39
  • Faman39
thanks alot! And i m sorry for troubling :(
Faman39
  • Faman39
i know, i m totally pain, cuz i barely understand thing
UnkleRhaukus
  • UnkleRhaukus
i hope it makes some sense now, can you tell me how much poster board do you need?
Faman39
  • Faman39
480 in2
UnkleRhaukus
  • UnkleRhaukus
\[\color\red\checkmark\]
Faman39
  • Faman39
Thank you so much @UnkleRhaukus !!! your too great!!!!!!

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