cuboid is 24 cm long 12 CM broad 6 cm height find the whole surface area of a cube is volume equal to that of a cube
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Solution :-
→ Length of cuboid = 24cm.
→ Breadth of cuboid = 12cm.
→ Height of cuboid = 6cm.
So,
→ Volume of cuboid = Length * Breadth * Height
→ Volume of cuboid = 24 * 12 * 6
→ Volume of cuboid = 1728cm³.
Now, given that,
→ Volume of cuboid = Volume of cube
So,
→ volume of cube = 1728cm³
→ (side of cube)³ = 1728
→ (side of cube)³ = (12)³
→ side of cube = 12 cm.
Therefore,
→ Total surface Area of cube = 6*(side of cube)²
→ Total surface Area of cube = 6*(12)²
→ Total surface Area of cube = 6 * 144
→ Total surface Area of cube = 864cm² (Ans.)
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