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Minchanka [31]
4 years ago
6

a rectangular container measuring 20 cm by 15 cm by 12 cm is 2/3 filled with water . Find the volume of the water in liters.

Mathematics
1 answer:
Free_Kalibri [48]4 years ago
6 0

Answer:

2.4 litres

Step-by-step explanation:

volume of a rectangular container = length x breadth x height/depth

volume of the rectangular container = 20cm x 12cm x 15cm

= 3600 cm³

volume filled with water = 2/3 x 3600 =2,400cm³

1000cm³ = 1 litre

therefore 2,400cm³ = 2400/1000 = 2.4 litres

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Step-by-step explanation: The first step is to convert the expression into figures. We shall call the unknown number Y. So if we are told “the square of a number,” that means Y squared, or better still, Y^2. Further we are told “the difference between the square of a number and 40” and that can be written as;

Y^2 - 40.

Next we are told that this expression is equal to 3 times that number (that is 3Y). That can now be written out as follows,

Y^2 - 40 = 3Y

If we move all expressions to one side of the equation, what we would have is,

Y^2 - 3Y -40 = 0

(Remember that when a positive value crosses to the other side of an equation it becomes negative and vice versa)

We now have a quadratic equation

Y^2 -3Y - 40 = 0

By factorizing we now have

(Y -8) (Y + 5) = 0

Therefore Y - 8 = 0 or

Y + 5 = 0

Hence, Y = 8 or Y = -5

Since we are asked to calculate the positive solution, Y = 8

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4 years ago
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Object A has a position as a function of time given by A(t) = (3.00 m/s)tî + (1.00 m/s2)t2ĵ. Object B has a position as a functi
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Answer:

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