A cuboidal block of metal has dimensions 36cm by 32cm by 0.25m .It is melted and recast into cubes with an edge of 4cm find 1) how many such cubes can be made ? 2) what is the cost of silver coating the surfaces of the cubes at the rate of Rs 0.75 per square centimetre
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Dimensions of cuboid Given as
36cm,32cm,0.25m =25cm
Volume of cuboid =lxbxh
=36x32x25=28800cm³
Now we reset it and made cubes
Side of 1 cube =4cm
Volume of cube =a³
=4³=64cm³
The volume of cuboid =volume of all cubes
Let total cubes =x
28800=64*x
X=28800/64
X=450
1 ans ==>450 cubes of side 4 cm can be made.
Surface area of 1 cube =6a²
=6x4x4=96cm²
Total surface to cover =450x96
=43200cm²
Cost of silver coating on 1cm²=₹0.75
Cost of silver coating on43200cm²=43200x0.75
=₹32400
This is ur ans hope it will help you in case of any doubt comment below
36cm,32cm,0.25m =25cm
Volume of cuboid =lxbxh
=36x32x25=28800cm³
Now we reset it and made cubes
Side of 1 cube =4cm
Volume of cube =a³
=4³=64cm³
The volume of cuboid =volume of all cubes
Let total cubes =x
28800=64*x
X=28800/64
X=450
1 ans ==>450 cubes of side 4 cm can be made.
Surface area of 1 cube =6a²
=6x4x4=96cm²
Total surface to cover =450x96
=43200cm²
Cost of silver coating on 1cm²=₹0.75
Cost of silver coating on43200cm²=43200x0.75
=₹32400
This is ur ans hope it will help you in case of any doubt comment below
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Answer:
450
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