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 2 years ago
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
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

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

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

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

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

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

darthsid
 2 years ago
Best ResponseYou've already chosen the best response.0That'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?

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

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

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

darthsid
 2 years ago
Best ResponseYou've already chosen the best response.0B 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
 2 years ago
Best ResponseYou've already chosen the best response.0So 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?

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

darthsid
 2 years ago
Best ResponseYou've already chosen the best response.0So, 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?

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

darthsid
 2 years ago
Best ResponseYou've already chosen the best response.0So 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?

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

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

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

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

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

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

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

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

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

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