The dimensions of a cuboid are in the ratio of 2:3:4 and its total surface area is 280m2 . Find the dimensions.
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Solution :-
We know that
TSA = 2(lb + bh + lh)
280 = 2(2x × 3x + 3x × 4x + 2x × 4x)
280 = 2(6x² + 12x² + 8x²)
280 = 2(26x²)
280 = 52x²
280/52 = x²
√5.3 = x
2.3 = x
Therefore,
- Length = 2x = 2 × 2.3 = 4.6 m
- Breadth = 3x = 3 × 2.3 = 6.9 m
- Height = 4x = 4 × 2.3 = 9.2 m
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