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A rectangular tank measuring 1.2m by 0.4m by 0.2m is filled with water up to 4/5 of its height. A pail with a capacity of 1.3 litre is used to scoop water out from the tank. If no water is lost during the process, find

(a) the maximum number of 1.3 litre-pails that are fully filled.

(b) the amount of water that is left in the tank.

Guest Aug 17, 2015

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${\mathtt{V}} = {\frac{{\mathtt{1.2}}{\mathtt{\,\times\,}}{\mathtt{0.4}}{\mathtt{\,\times\,}}{\mathtt{0.2}}{\mathtt{\,\times\,}}{\mathtt{4}}}{{\mathtt{5}}}} \Rightarrow {\mathtt{V}} = {\mathtt{0.076\: \!8}}$ m³ are in the tank = 76,8 litre

${\frac{{\mathtt{76.8}}}{{\mathtt{1.3}}}} = {\frac{{\mathtt{768}}}{{\mathtt{13}}}} = {\mathtt{59.076\: \!923\: \!076\: \!923\: \!076\: \!9}}$ You can fill 59 1.3 litre-pails .

${\mathtt{76.8}}{\mathtt{\,-\,}}{\mathtt{59}}{\mathtt{\,\times\,}}{\mathtt{1.3}} = {\frac{{\mathtt{1}}}{{\mathtt{10}}}} = {\mathtt{0.1}}$ 0.1 litre = 100 ml = 100 cm³ is left in the tank.

Gruß radix !

radix Aug 17, 2015

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radix · Answer 1 · 2015-08-17T09:44:30

${\mathtt{V}} = {\frac{{\mathtt{1.2}}{\mathtt{\,\times\,}}{\mathtt{0.4}}{\mathtt{\,\times\,}}{\mathtt{0.2}}{\mathtt{\,\times\,}}{\mathtt{4}}}{{\mathtt{5}}}} \Rightarrow {\mathtt{V}} = {\mathtt{0.076\: \!8}}$ m³ are in the tank = 76,8 litre

${\frac{{\mathtt{76.8}}}{{\mathtt{1.3}}}} = {\frac{{\mathtt{768}}}{{\mathtt{13}}}} = {\mathtt{59.076\: \!923\: \!076\: \!923\: \!076\: \!9}}$ You can fill 59 1.3 litre-pails .

${\mathtt{76.8}}{\mathtt{\,-\,}}{\mathtt{59}}{\mathtt{\,\times\,}}{\mathtt{1.3}} = {\frac{{\mathtt{1}}}{{\mathtt{10}}}} = {\mathtt{0.1}}$ 0.1 litre = 100 ml = 100 cm³ is left in the tank.

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${\mathtt{V}} = {\frac{{\mathtt{1.2}}{\mathtt{\,\times\,}}{\mathtt{0.4}}{\mathtt{\,\times\,}}{\mathtt{0.2}}{\mathtt{\,\times\,}}{\mathtt{4}}}{{\mathtt{5}}}} \Rightarrow {\mathtt{V}} = {\mathtt{0.076\: \!8}}$ m³ are in the tank = 76,8 litre

${\frac{{\mathtt{76.8}}}{{\mathtt{1.3}}}} = {\frac{{\mathtt{768}}}{{\mathtt{13}}}} = {\mathtt{59.076\: \!923\: \!076\: \!923\: \!076\: \!9}}$ You can fill 59 1.3 litre-pails .

${\mathtt{76.8}}{\mathtt{\,-\,}}{\mathtt{59}}{\mathtt{\,\times\,}}{\mathtt{1.3}} = {\frac{{\mathtt{1}}}{{\mathtt{10}}}} = {\mathtt{0.1}}$ 0.1 litre = 100 ml = 100 cm³ is left in the tank.

Gruß radix !

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${\mathtt{V}} = {\frac{{\mathtt{1.2}}{\mathtt{\,\times\,}}{\mathtt{0.4}}{\mathtt{\,\times\,}}{\mathtt{0.2}}{\mathtt{\,\times\,}}{\mathtt{4}}}{{\mathtt{5}}}} \Rightarrow {\mathtt{V}} = {\mathtt{0.076\: \!8}}$ m³ are in the tank = 76,8 litre

${\frac{{\mathtt{76.8}}}{{\mathtt{1.3}}}} = {\frac{{\mathtt{768}}}{{\mathtt{13}}}} = {\mathtt{59.076\: \!923\: \!076\: \!923\: \!076\: \!9}}$ You can fill 59 1.3 litre-pails .

${\mathtt{76.8}}{\mathtt{\,-\,}}{\mathtt{59}}{\mathtt{\,\times\,}}{\mathtt{1.3}} = {\frac{{\mathtt{1}}}{{\mathtt{10}}}} = {\mathtt{0.1}}$ 0.1 litre = 100 ml = 100 cm³ is left in the tank.

Gruß radix !

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V=1.2×0.4×0.2×45⇒V=0.0768{\mathtt{V}} = {\frac{{\mathtt{1.2}}{\mathtt{\,\times\,}}{\mathtt{0.4}}{\mathtt{\,\times\,}}{\mathtt{0.2}}{\mathtt{\,\times\,}}{\mathtt{4}}}{{\mathtt{5}}}} \Rightarrow {\mathtt{V}} = {\mathtt{0.076\: \!8}} m³ are in the tank = 76,8 litre

76.81.3=76813=59.0769230769230769{\frac{{\mathtt{76.8}}}{{\mathtt{1.3}}}} = {\frac{{\mathtt{768}}}{{\mathtt{13}}}} = {\mathtt{59.076\: \!923\: \!076\: \!923\: \!076\: \!9}} You can fill 59 1.3 litre-pails .

76.8−59×1.3=110=0.1{\mathtt{76.8}}{\mathtt{\,-\,}}{\mathtt{59}}{\mathtt{\,\times\,}}{\mathtt{1.3}} = {\frac{{\mathtt{1}}}{{\mathtt{10}}}} = {\mathtt{0.1}} 0.1 litre = 100 ml = 100 cm³ is left in the tank.

Gruß radix !

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V=1.2×0.4×0.2×45⇒V=0.0768{\mathtt{V}} = {\frac{{\mathtt{1.2}}{\mathtt{\,\times\,}}{\mathtt{0.4}}{\mathtt{\,\times\,}}{\mathtt{0.2}}{\mathtt{\,\times\,}}{\mathtt{4}}}{{\mathtt{5}}}} \Rightarrow {\mathtt{V}} = {\mathtt{0.076\: \!8}} m³ are in the tank = 76,8 litre

76.81.3=76813=59.0769230769230769{\frac{{\mathtt{76.8}}}{{\mathtt{1.3}}}} = {\frac{{\mathtt{768}}}{{\mathtt{13}}}} = {\mathtt{59.076\: \!923\: \!076\: \!923\: \!076\: \!9}} You can fill 59 1.3 litre-pails .

76.8−59×1.3=110=0.1{\mathtt{76.8}}{\mathtt{\,-\,}}{\mathtt{59}}{\mathtt{\,\times\,}}{\mathtt{1.3}} = {\frac{{\mathtt{1}}}{{\mathtt{10}}}} = {\mathtt{0.1}} 0.1 litre = 100 ml = 100 cm³ is left in the tank.

Gruß radix !

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${\mathtt{V}} = {\frac{{\mathtt{1.2}}{\mathtt{\,\times\,}}{\mathtt{0.4}}{\mathtt{\,\times\,}}{\mathtt{0.2}}{\mathtt{\,\times\,}}{\mathtt{4}}}{{\mathtt{5}}}} \Rightarrow {\mathtt{V}} = {\mathtt{0.076\: \!8}}$ m³ are in the tank = 76,8 litre

${\frac{{\mathtt{76.8}}}{{\mathtt{1.3}}}} = {\frac{{\mathtt{768}}}{{\mathtt{13}}}} = {\mathtt{59.076\: \!923\: \!076\: \!923\: \!076\: \!9}}$ You can fill 59 1.3 litre-pails .

${\mathtt{76.8}}{\mathtt{\,-\,}}{\mathtt{59}}{\mathtt{\,\times\,}}{\mathtt{1.3}} = {\frac{{\mathtt{1}}}{{\mathtt{10}}}} = {\mathtt{0.1}}$ 0.1 litre = 100 ml = 100 cm³ is left in the tank.

1⁺⁰ Answers

${\mathtt{V}} = {\frac{{\mathtt{1.2}}{\mathtt{\,\times\,}}{\mathtt{0.4}}{\mathtt{\,\times\,}}{\mathtt{0.2}}{\mathtt{\,\times\,}}{\mathtt{4}}}{{\mathtt{5}}}} \Rightarrow {\mathtt{V}} = {\mathtt{0.076\: \!8}}$ m³ are in the tank = 76,8 litre

${\frac{{\mathtt{76.8}}}{{\mathtt{1.3}}}} = {\frac{{\mathtt{768}}}{{\mathtt{13}}}} = {\mathtt{59.076\: \!923\: \!076\: \!923\: \!076\: \!9}}$ You can fill 59 1.3 litre-pails .

${\mathtt{76.8}}{\mathtt{\,-\,}}{\mathtt{59}}{\mathtt{\,\times\,}}{\mathtt{1.3}} = {\frac{{\mathtt{1}}}{{\mathtt{10}}}} = {\mathtt{0.1}}$ 0.1 litre = 100 ml = 100 cm³ is left in the tank.