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Airida [17]
3 years ago
9

A box 4 cm by 6 cm by 8 cm is painted on all six faces and then cut into cubes with the 2 cm sides. How many of these cubes have

only one side painted?
Answer:

cube (s)

Mathematics
1 answer:
Vera_Pavlovna [14]3 years ago
3 0

Answer:

4 Cubes

Step-by-step explanation:

A box 4 cm by 6 cm by 8 cm is painted on all six faces.

The volume of the box = L × B × W

V = 4 × 6 × 8 = 192 cm³

The box cut into cubes with the 2 cm sides.

Volume of the 2 cm cube = 2 × 2 × 2 = 8 cm³

The number of cubes from the box = \frac{192}{8}

                                                          = 24 cubes

There would be 4 cubes in the middle would be painted only one side.

Periphery cubes of the box are painted on two or more sides.

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Answer:

Step-by-step explanation:

L

H

S

=

cos

4

x

=

2

cos

2

(

2

x

)

−

1

=

2

(

cos

(

2

x

)

)

2

−

1

=

2

(

2

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1

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1

=

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(

4

cos

4

x

−

4

cos

2

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+

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)

−

1

=

8

cos

4

x

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8

cos

2

x

+

2

−

1

=

8

cos

4

x

−

8

cos

2

x

+

1

=

R

H

S

Again

L

H

S

=

cos

4

x

=

2

cos

2

(

2

x

)

−

1

=

2

(

1

−

2

sin

2

x

)

)

2

−

1

=

2

(

1

−

4

sin

2

x

+

4

sin

4

x

)

−

1

=

2

−

8

sin

2

x

+

8

sin

4

x

−

1

=

8

sin

4

x

−

8

sin

2

x

+

1

=

R

H

S

sin

2

x

+

cos

2

x

=

1

cos

2

x

=

1

−

sin

2

x

substitute in the equation as follows

8

cos

4

x

−

8

cos

2

x

+

1

=

8

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2

x

(

cos

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−

1

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+

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(

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)

(

1

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sin

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1

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(

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+

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