anonymous
  • anonymous
Observe the composite figure below. The bottom shape is a cube with base edges of 16 meters. The top shape is a right pyramid with a height of 15 meters. What is the surface area of this composite figure? Answer 544 m2 1,280 m2 1,824 m2 2,080 m2
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
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darthsid
  • darthsid
What's your working so far? How are you approaching this?
anonymous
  • anonymous
i have made it absolutely no where on this problem.

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More answers

darthsid
  • darthsid
Do you know what the area of a square is?
anonymous
  • anonymous
yesss
darthsid
  • darthsid
Great! So try to divide the figure into two parts: 1. the pyramid 2. The cube
darthsid
  • darthsid
Now, a cube's surface is basically 6 squares, so what would the area of the surface of the cube be?
anonymous
  • anonymous
256???
darthsid
  • darthsid
That's the area of one square. A cube's surface is made of 6 squares. So the surface area of the cube is 6 times the area of a square, right?
anonymous
  • anonymous
so that would be 1,536
darthsid
  • darthsid
Yeah, so that's the surface area of the bottom part. Now let us look at the top part, it is a right pyramid, which is basically 4 triangles and a square on the surface
darthsid
  • darthsid
DO you have the formula for the surface area of a right pyramid?
anonymous
  • anonymous
B+ 1/2ps?
anonymous
  • anonymous
yes
darthsid
  • darthsid
Exactly, for the pyramid your main problem is finding s what's the formula for s? You're very close!
anonymous
  • anonymous
i have no idea ! haha
darthsid
  • darthsid
B is the area of the base, which is a square, which you calculated above was 256! P is the perimeter of the base, which is the sum of all sides of the base, So P = 16 + 16 + 16 + 16 = 64
darthsid
  • darthsid
So we are left with s, which is the slant height. Slant height \[s=\sqrt{{h^2}+{r^2}}\] where h is the height, and r is the radius of the base The radius of the base is half the side of the square, so r = 8. Can you calculate s?
anonymous
  • anonymous
289?
anonymous
  • anonymous
17
anonymous
  • anonymous
nno 288
anonymous
  • anonymous
16
darthsid
  • darthsid
No no, square root that! You are on the right track tahtah99 :)
darthsid
  • darthsid
yess, 17!
darthsid
  • darthsid
So, you said the formula was B + 1/2Ps B = 256 (area of square) P = 64 (perimeter of square) s = 17 So total surface area of the pyramid is?
anonymous
  • anonymous
800 ?
darthsid
  • darthsid
Great! That's correct.
anonymous
  • anonymous
see i told you!!
anonymous
  • anonymous
you got it!!
anonymous
  • anonymous
-_____- hahah
darthsid
  • darthsid
So now, you have a pyramid and a cube Area of pyramid = 800 Area of cube = 1536 Now if you join the two, you will not see one side of the cube, and the base of the pyramid. Do you understand that?
darthsid
  • darthsid
It's not done yet :D
anonymous
  • anonymous
dont celebrate, its not done yet!!
anonymous
  • anonymous
oh Lord.. yeah i understand
darthsid
  • darthsid
So you have to subtract the area of two things: 1. The base of the pyramid 2. One square from the cube.
anonymous
  • anonymous
so subtract 512?
darthsid
  • darthsid
So your final area will be: 1536 + 800 - (area of 1 square) - (area of 1 square) = 1536 + 800 - 256 - 256
darthsid
  • darthsid
Exactly! You got this!
anonymous
  • anonymous
exactly!! WHAT I SAY?? YOU GOT IT!
anonymous
  • anonymous
is the answer c?
anonymous
  • anonymous
THATS WHAT IVE BEEN TRYING TO SAY!! YES IT IS!!!!!!
darthsid
  • darthsid
Yes it is!
darthsid
  • darthsid
Congrats :)
anonymous
  • anonymous
thank you so much ! : )
anonymous
  • anonymous
SEE! NOOOOOWWW YOU CELEBRATE!!
anonymous
  • anonymous
YOUR VERY WELCOME~!
anonymous
  • anonymous
hahahahahahha
darthsid
  • darthsid
Glad to help!
anonymous
  • anonymous
glad to help too!
anonymous
  • anonymous
could you check my answer for the last question ?
anonymous
  • anonymous
nvm got it
anonymous
  • anonymous
ok.

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