Question

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Answer 1

Answer:

Step-by-step explanation:

Let the sides be 6x,4x,5x

So total surface area is 2(lb+bh+hl) = 2368cm2

So substitute the value,

2(6x*4x + 4x*5x + 5x*6x) = 2368

24x^2 + 20x^2 + 30x^2 = 2368/2

x^2 (24 + 20 + 30) = 1184

x^2 = 1184/74

x^2 = 16

x = 4

So the sides are

L = 6*4 = 24cm

B = 4*4 = 16cm

H = 5*4 = 20cm

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Answer 2

Let the Length of Cuboid = 6x

Let the Breadth of Cuboid = 4x

Let the Height of Cuboid = 5x

TSA of Cuboid = 2368 cm²

2 ( lb + bh + hl ) = 2368 cm²

2 ( [6x*4x] + [4x*5x] + [5x*6x] ) = 2368

2 ( 24x² + 20x² + 30x² ) = 2368

2 ( 74x² ) = 2368

148x² = 2368

x² = 2368/ 148

x² = 16

x = 4

Hence

The Length of Cuboid = 6x = 6(4) = 24 cm

The Breadth of Cuboid = 4x = 4(4) = 16 cm

The Height of Cuboid = 5x = 5(4) = 20 cm

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