1.

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​

Answer»

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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