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igor_vitrenko [27]
3 years ago
13

Find the total number of unit cube that fill the entire prism

Mathematics
1 answer:
Nonamiya [84]3 years ago
3 0

Answer:

72 cubes

Step-by-step explanation:

Attached is the picture drawn (though not great one), showing 6 cube on length of prism, 3 cubes on width and 4 cubes on height of prism.

Given: Length of prism= 6

           Width= 3

            Height= 4

To know the number of cubes, which can fill the entire prism, we need to find volume of prism.

∴ Volume of prism= length\times width\times height

Volume of prism= 6\times 3\times 4= 72

∴ 72 units of cube can fill the entire prism.

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(

−

2

)

=

−

1

4

(

−

8

)

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1

Eliminate redundant parentheses

(

−

2

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1

4

(

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8

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2

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−

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4

(

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8

)

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−

2

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−

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4

(

−

8

)

−

2

=

−

1

(

−

8

)

4

3

Distribute

−

2

=

−

1

(

−

8

)

4

−

2

=

−

+

8

4

4

Add

2

2

2

to both sides of the equation

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2

=

−

+

8

4

−

2

+

2

=

−

+

8

4

+

2

5

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−

+

8

4

+

2

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=

1

6

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