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The surface area of a cuboid is 1372 sq cm.
The dimensions of the cuboid are in ratio 4:2:1
\sf{\huge{\underline{\pink{To\:Find :-}}}}
ToFind:−
The dimensions of a cuboid .
\sf{\huge{\underline{\purple{Solution :-}}}}
Solution:−
We have,
The dimensions of the cuboid are in ratio 4:2:1
Take in form of l = 4x, b = 2x & h = x .
Total Surface Area of Cuboid= 2(lb + bh +lh)
➝ 2 {(4x×2x)+(2x×x)+(x×4x) }
➝ 2 {(8x² +2x² + 4x²)}
➝ 2 × 14x²
➝ 28x²
We have, The surface area of a cuboid is 1372 sq cm.
➝ 28x² = 1372
➝ x² = \cancel{\dfrac{1372}{28}}
28
1372
➝ x² = 49
➝ x = √49
➝ x = 7
Length = 4x = 4 × 7 = 28
Breadth = 2x = 2 × 7 = 14
Hieght = x = 7
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