The base area and volume of a juice container are 100 sq cm and 2 litres. The height of the juice box is

10 cm

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14 cm

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20 cm

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Solution

The correct option is C 20 cm
The given juice box is

The box is in the shape of a rectangular prism.
Base area of the box = 100 sq cm

Volume = 2 litres

1 litre = 1000 cu cm

Volume = base area $\times$ height

Height = $\frac{v o l u m e}{b a s e a r e a}$

= 2 L / 100 sq cm

= 2 $\times$ 1000 cu cm / 100 sq cm

= 20 cm

Hence, the height of the juice box is 20 cm

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