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strojnjashka [21]
3 years ago
11

How to do this question plz answer me step by step plzz plz ​

Mathematics
1 answer:
crimeas [40]3 years ago
3 0

Answer:

New depth of the milk will be 4 cm.

Step-by-step explanation:

If the carton (shaded side) is standing vertically, milk in the box will acquire the dimensions of the box.

Length of the cuboid formed by the the milk = 8 cm

Width = 5 cm

Height = 12 cm

Volume of the cuboid formed by the milk in the carton = Length × width × height

V = 8 × 5 × 12

  = 480 cm³

If the carton is turned so that the carton stands on the shaded face,

Volume of the milk remains unchanged but the dimensions of the cuboid formed by the milk inside the carton will get changed.

Length = 15 cm

Width = 8 cm

Height = h cm

Then volume of the cuboid = Length × width × height

V = 15 × 8 × h

480 = 120h

h = \frac{480}{120}

h = 4 cm

Therefore, new depth of the milk will be 4 cm.

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1 Shift the decimal points of both 23.7 and 1.8 to the right by 1 decimal place.

(This is needed to convert 1.8 to 18, since long division must divide by a whole number.)

2

3

7

1

8

​18

​

​237

​​


2 Set up the long division.


1 8 | 2 3 7



3 Calculate 23 ÷ 18, which is 1 with a remainder of 5.


1

1 8 | 2 3 7

1 8

5


4 Bring down 7, so that 57 is large enough to be divided by 18.


1

1 8 | 2 3 7

1 8

5 7


5 Calculate 57 ÷ 18, which is 3 with a remainder of 3.


1 3

1 8 | 2 3 7

1 8

5 7

5 4

3


6 Bring down 0, so that 30 is large enough to be divided by 18.


1 3 .

1 8 | 2 3 7 .

1 8  

5 7 .

5 4 .

3 . 0


7 Calculate 30 ÷ 18, which is 1 with a remainder of 12.


1 3 . 1

1 8 | 2 3 7 .

1 8  

5 7 .

5 4 .

3 . 0

1 . 8

1 . 2


8 Bring down 0, so that 120 is large enough to be divided by 18.


1 3 . 1

1 8 | 2 3 7 .  

1 8    

5 7 .  

5 4 .  

3 . 0

1 . 8

1 . 2 0


9 Calculate 120 ÷ 18, which is 6 with a remainder of 12.


1 3 . 1 6

1 8 | 2 3 7 .  

1 8    

5 7 .  

5 4 .  

3 . 0

1 . 8

1 . 2 0

1 . 0 8

1 2


10 Bring down 0, so that 120 is large enough to be divided by 18.


1 3 . 1 6

1 8 | 2 3 7 .  

1 8    

5 7 .  

5 4 .  

3 . 0  

1 . 8  

1 . 2 0

1 . 0 8

1 2 0


11 Calculate 120 ÷ 18, which is 6 with a remainder of 12.


1 3 . 1 6 6

1 8 | 2 3 7 .  

1 8    

5 7 .  

5 4 .  

3 . 0  

1 . 8  

1 . 2 0

1 . 0 8

1 2 0

1 0 8

1 2


12 Bring down 0, so that 120 is large enough to be divided by 18.


1 3 . 1 6 6

1 8 | 2 3 7 .    

1 8      

5 7 .    

5 4 .    

3 . 0  

1 . 8  

1 . 2 0  

1 . 0 8  

1 2 0

1 0 8

1 2 0


13 Calculate 120 ÷ 18, which is 6 with a remainder of 12.


1 3 . 1 6 6 6

1 8 | 2 3 7 .    

1 8      

5 7 .    

5 4 .    

3 . 0  

1 . 8  

1 . 2 0  

1 . 0 8  

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1 2 0

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14 Therefore, 23.70 ÷ 1.8 ≈ 13.1666:

13.1666


4 0
4 years ago
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