Find length of diagonals of cuboid whose measurements are 15cm , 12cm and 10cm .
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Answer:
Given, Length of the cuboid (l)=15cm
Breadth of the cuboid (b)=12cm
Height of the cuboid (h)=10cm
Surface area of a cuboid =2(lb+bh+hl)
=2(15×12+12×10+10×15)cm2
=2(180+120+150)cm2
=2(450)cm2
=900cm2
Step-by-step explanation:
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Given :
- Length of Cuboid = 15cm
- Breadth of Cuboid = 12cm
- Height of Cuboid = 10cm
To Find :
- The length of its Diagonal
Solution :
✰ As we know that, Diagonal of Cuboid is given by Diagonal = √l² + b² + h² . Now in this question, Length, Breadth and Height of the Cuboid are given, so simply we will put the given values in the formula to find the Diagonal of the Cuboid.
⠀⠀⠀
⠀⠀⟼⠀Diagonal = √l² + b² + h²
⠀⠀⟼⠀Diagonal = √(15)² + (12)² + (10)²
⠀⠀⟼⠀Diagonal = √225 + 144 + 100
⠀⠀⟼⠀Diagonal = √225 + 244
⠀⠀⟼⠀Diagonal = √469
⠀⠀⟼⠀Diagonal = 21.65cm
⠀
Thus Diagonal of the Cuboid is 21.65cm
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