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Example 7:A rectangular block of ice measures 40 cm by 25 cm by 15 cm. Calculate its weightinif ice weighsof the weight of the same volume of water and 1 cm' of water weighs10g.

Answer»

Solution :

Dimensions of the rectangular ice

block :

Length ( L ) = 40cm

Breadth ( B ) = 25 cm ,

Height ( H ) = 15 cm

Volume of the ice block ( V ) = LBH

= 40cm × 25 cm × 15 cm

= 15000cm³

It is given that,

1 cm³ ice block volume =

( 9/10 ) cm³ water volume

15000 cm³ ice block

volume = [15000cm³ × ( 9/10 ) cm³ ]/1cm³

[ Unitary method ]

= 15000 × 0.9 cm³

= 13.5 × 1000 cm³

= 13.5 × 1000 g

[ 1 cm³ = 1 g ]

= 13.5 kg

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