Question

the dimensions of cuboid are in the ratio of 2:3:4 and its total surface area is 468square.cm find the dimensions

Answer 1

Let the dimensions be x.
A. T. Q
2x+3x+4x=468 square cm
9x=468
X=52

therefore, dimensions are
2x=104cm
3x=156cm
4x=208cm

Answer 2

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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