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tahtah99
Group Title
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
 2 years ago
 2 years ago
tahtah99 Group Title
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
 2 years ago
 2 years ago

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darthsid Group TitleBest ResponseYou've already chosen the best response.0
What's your working so far? How are you approaching this?
 2 years ago

tahtah99 Group TitleBest ResponseYou've already chosen the best response.2
i have made it absolutely no where on this problem.
 2 years ago

darthsid Group TitleBest ResponseYou've already chosen the best response.0
Do you know what the area of a square is?
 2 years ago

darthsid Group TitleBest ResponseYou've already chosen the best response.0
Great! So try to divide the figure into two parts: 1. the pyramid 2. The cube
 2 years ago

darthsid Group TitleBest ResponseYou've already chosen the best response.0
Now, a cube's surface is basically 6 squares, so what would the area of the surface of the cube be?
 2 years ago

darthsid Group TitleBest ResponseYou've already chosen the best response.0
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?
 2 years ago

tahtah99 Group TitleBest ResponseYou've already chosen the best response.2
so that would be 1,536
 2 years ago

darthsid Group TitleBest ResponseYou've already chosen the best response.0
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
 2 years ago

darthsid Group TitleBest ResponseYou've already chosen the best response.0
DO you have the formula for the surface area of a right pyramid?
 2 years ago

darthsid Group TitleBest ResponseYou've already chosen the best response.0
Exactly, for the pyramid your main problem is finding s what's the formula for s? You're very close!
 2 years ago

tahtah99 Group TitleBest ResponseYou've already chosen the best response.2
i have no idea ! haha
 2 years ago

darthsid Group TitleBest ResponseYou've already chosen the best response.0
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
 2 years ago

darthsid Group TitleBest ResponseYou've already chosen the best response.0
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?
 2 years ago

darthsid Group TitleBest ResponseYou've already chosen the best response.0
No no, square root that! You are on the right track tahtah99 :)
 2 years ago

darthsid Group TitleBest ResponseYou've already chosen the best response.0
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?
 2 years ago

darthsid Group TitleBest ResponseYou've already chosen the best response.0
Great! That's correct.
 2 years ago

kk1022 Group TitleBest ResponseYou've already chosen the best response.1
see i told you!!
 2 years ago

kk1022 Group TitleBest ResponseYou've already chosen the best response.1
you got it!!
 2 years ago

tahtah99 Group TitleBest ResponseYou've already chosen the best response.2
_____ hahah
 2 years ago

darthsid Group TitleBest ResponseYou've already chosen the best response.0
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?
 2 years ago

darthsid Group TitleBest ResponseYou've already chosen the best response.0
It's not done yet :D
 2 years ago

kk1022 Group TitleBest ResponseYou've already chosen the best response.1
dont celebrate, its not done yet!!
 2 years ago

tahtah99 Group TitleBest ResponseYou've already chosen the best response.2
oh Lord.. yeah i understand
 2 years ago

darthsid Group TitleBest ResponseYou've already chosen the best response.0
So you have to subtract the area of two things: 1. The base of the pyramid 2. One square from the cube.
 2 years ago

tahtah99 Group TitleBest ResponseYou've already chosen the best response.2
so subtract 512?
 2 years ago

darthsid Group TitleBest ResponseYou've already chosen the best response.0
So your final area will be: 1536 + 800  (area of 1 square)  (area of 1 square) = 1536 + 800  256  256
 2 years ago

darthsid Group TitleBest ResponseYou've already chosen the best response.0
Exactly! You got this!
 2 years ago

kk1022 Group TitleBest ResponseYou've already chosen the best response.1
exactly!! WHAT I SAY?? YOU GOT IT!
 2 years ago

tahtah99 Group TitleBest ResponseYou've already chosen the best response.2
is the answer c?
 2 years ago

kk1022 Group TitleBest ResponseYou've already chosen the best response.1
THATS WHAT IVE BEEN TRYING TO SAY!! YES IT IS!!!!!!
 2 years ago

darthsid Group TitleBest ResponseYou've already chosen the best response.0
Yes it is!
 2 years ago

darthsid Group TitleBest ResponseYou've already chosen the best response.0
Congrats :)
 2 years ago

tahtah99 Group TitleBest ResponseYou've already chosen the best response.2
thank you so much ! : )
 2 years ago

kk1022 Group TitleBest ResponseYou've already chosen the best response.1
SEE! NOOOOOWWW YOU CELEBRATE!!
 2 years ago

kk1022 Group TitleBest ResponseYou've already chosen the best response.1
YOUR VERY WELCOME~!
 2 years ago

tahtah99 Group TitleBest ResponseYou've already chosen the best response.2
hahahahahahha
 2 years ago

darthsid Group TitleBest ResponseYou've already chosen the best response.0
Glad to help!
 2 years ago

kk1022 Group TitleBest ResponseYou've already chosen the best response.1
glad to help too!
 2 years ago

tahtah99 Group TitleBest ResponseYou've already chosen the best response.2
could you check my answer for the last question ?
 2 years ago

tahtah99 Group TitleBest ResponseYou've already chosen the best response.2
nvm got it
 2 years ago
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