Question

The dimensions of a cuboid are in the ratio of 1:2:3 and its total surface area is 88 m². Find the dimensions​

Answer 1

Step-by-step explanation:

TSA = 2 (lb + bh + hl)

Let length be l = x

breadth be b = 2x

height be h = 3x

substitute,

2[(x)(2x)+(2x)(3x)+(3x)(x)] = 88

2[ 2x² + 6x² + 3x² ] = 88

11x² = 44

x² = 4

x = 2

length = 2m

breadth = 4m

height = 6m

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Answer 2

Answer:

Step-by-step explanation:

Let the dimensions of cuboid are x, 2x and 3x.

So, its surface area =  2(lb+bh+hl)

2(x×2x+2x×3x+3x×x)

2(2x²+6x²+3x²) = 22x²

Now,

22x²=88

x²=4

x=2

Therefore, dimensions are 2, 4 and 6