Question

A container contains juice in it. Aslam filled 29 glasses of dimensions 5cm by 6cm by 4cm from it. From the remaining he filled 9 jugs to the brink of 2.25l each, but still 3.55l remain inside the container. What was the total volume of the container? ​

Answer 1

Dimensions of glass = 5cm * 6cm * 4cm

Volume of glass = $5 \times 6 \times 4$

Volume of one glass = $120 cm^3$

There are 29 glasses drawn out of this volume,

Total volumes of 29 glasses = $29 \times 120 \Rightarrow 3480 cm^3$

We know that 1000 cm^3 = 1 litre

So, $3480 cm^3 = 3.48\ litre$

Volume of juice carried by 1 jug = 2.25 litre

Volume of juice carried by 9 jugs = $2.25 \times 9 = 20.25\ litre$

Volume of juice still left in the container = 3.55 litre

Total volume of the container = Total volume of 29 glasses + Volume of 9 jugs + Volume of juice still left  

$\Rightarrow 3.48 + 20.25 + 3.55\\\Rightarrow 27.28\ litres$

Hence, total volume of container was 27.28 litres or 27280 $cm^3$.