The Dimensions of a cuboid are in a ratio of 3:2:1 . The volume of the cuboid is 3072 cm³. The the Dimensions of the cuboid.
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Let the length of the cuboid =x, breadth =2x, height =3x
Total surface area of a cuboid =2(l×b+b×h+l×h)
Given, total surface area of the cuboid =88m²
⇒2(x×2x+2x×3x+x×3x)=88m
⇒x=2
Hence, the length of the cuboid = x = 2m,
breadth =2x=4m,
height =3x=6m
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Answer :-
- Length of Cuboid = 24 cm
- Breadth of Cuboid = 16 cm
- Height of Cuboid = 8 cm
Given :-
- Volume of Cuboid = 3072 cm³
To Find :-
- Length of Cuboid = ?
- Breadth of Cuboid = ?
- Height of Cuboid = ?
Explanation :-
Let the Dimensions of the Cuboid to be '3x', '2x' and '1x' cm.
As we Know,
Making an Equation,
Now Substituting the values,
Hence, the Dimensions of the cuboid are 24 cm x 16 cm x 8 cm.
@Agamsain
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