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NemiM [27]
3 years ago
5

Six identical square pyramids can fill the same volume as a cube with the same base. If the height of the cube is h units, what

is true about the height of each pyramid?
The height of each pyramid is One-halfh units.
The height of each pyramid is One-thirdh units.
The height of each pyramid is One-sixthh units.
The height of each pyramid is h units.
Mathematics
2 answers:
Rus_ich [418]3 years ago
4 0

Answer:

I believe "The height of each pyramid is one-half h units"

Dmitry [639]3 years ago
4 0

Answer:

It's A I JUST DID IT

Step-by-step explanation:

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From the Question:

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1 piece will cost 2 cents

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A piece of wire 13 m long is cut into two pieces. One piece is bent into a square and the other is bent into an equilateral tria
Rom4ik [11]

The function you seek to minimize is

()=3‾√4(3)2+(13−4)2

f

(

x

)

=

3

4

(

x

3

)

2

+

(

13

−

x

4

)

2

Then

′()=3‾√18−13−8=(3‾√18+18)−138

f

′

(

x

)

=

3

x

18

−

13

−

x

8

=

(

3

18

+

1

8

)

x

−

13

8

Note that ″()>0

f

″

(

x

)

>

0

so that the critical point at ′()=0

f

′

(

x

)

=

0

will be a minimum. The critical point is at

=1179+43‾√≈7.345m

x

=

117

9

+

4

3

≈

7.345

m

So that the amount used for the square will be 13−

13

−

x

, or

13−=524+33‾√≈5.655m

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