a cuboid is 24 cm long and 12m broad and 6 cm height find the whole surface area of a cube
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Answer:Edge of the given cube,
We have to find lateral and total surface area
Lateral surface area,
Total surface area,
The lateral surface area of the cube is and its total surface area is.
Step-by-step explanation:
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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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