Rive made a cuboid of plasticine of dimension 12cm 8cm and 3cm how many minumum numbers of such cubiods will be needed to firm a cube
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Correct Question :
- Ravi made a cuboid of plasticine of dimensions 12 cm, 8 cm, and 3 cm.
- How many minimum number of such cuboids will be needed to form a cube of side 12 cm?
Given :
- Dimension of cuboid = 12cm, 8cm, 3cm.
To find :
- Minimum number of cuboids needed!
Answer :
We know that,
- Volume of cube = (side) ³
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀= (12)³
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀= 1728cm³
- Volume of cuboid = 12 × 8 × 3
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀= 288cm³
- No. Of cubes needed to form such cubes = volume of cube / volume of cuboid
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀= 1728 / 288
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀= 6
⟿ Hence, 6 cuboids will be needed to form a cube of 12cm.
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