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Devishri1977idn

Answer:

Step-by-step explanation:

Length : Breadth : height = 3 : 4 : 6

Length = 3x

Breadth = 4x

Height = 6x

Volume of cuboid = 576 sq.cm

length * breadth * height = 576

3x * 4x * 6x = 576

       72x³   = 576

             x³ = 576/72

            x³ =   8

            x³ = 2³

x = 2

Length = 3*2 = 6 cm

Breadth = 4* 2 = 8 cm

Height = 6*2 = 12 cm

Total surface area = 2*(lb + bh + hl)

                             = 2 * (6*8 + 8*12 + 12*6)

                            = 2 * (48 + 96 + 72)

                            = 2 * 216

                            = 432 sq.cm

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