Metallic cuboids measuring 36 cm x 24 cm x 16 cm is melted and formed into a cube.
Find the side of the cube.
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Answer:
Volume of cuboid = Volume of cube
Volume of cuboid = lbh
= 13824 cm cube
Volume of cube = (side) cube
13824 cm = (side) cube
therefore, side of cube = 24 cm
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Given :
- Metallic cuboids measuring 36 cm x 24 cm x 16 cm is melted and formed into a cube.
To find :
- The side of the cube =?
Formula Used :
- Volume of cuboid = length x breadth x height.
- Volume of cube = side³
Step-by-step explanation :
As We know that,
Volume of cuboid = length x breadth x height
Substituting the values in the above formula, we get,
= 36 x 24 x 16
= 13,824.
Therefore, Volume of cuboid = 13,824 cm³.
Now,
According to the question,
Volume of cuboid = Volume of cube = side³
Substituting the values in the above formula, we get,
side³ = 13,824
side = ³√13,824
side = 24.
Therefore, Side of cube = 24 cm.
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