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Question

A cubical block of gold was melted and cast into 10 smaller cubes of edge 1.5 cm. The volume of the cubical block of gold was:

A
3.375 cu cm
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B
33.75 cu cm
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C
0.3375 cu cm
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D
none of these
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Solution

The correct option is C 33.75 cu cm
Given, edge of each cube =1.5 cm.
Then, Volume of each cube =(1.5)3
=1.5×1.5×1.5=3.375 cu.cm.

The number of cubes =10.
Then, Volume of the cubical block of gold
= Volume of each cube × Number of smaller cubes
=3.375×10
=33.75 cu.cm.

Hence, option B is correct.

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