# The length, breadth, and height fo a cuboid are in the ratio 3:4:6 and its volume is 576 cm3 (cm cube). The whole surface of the cuboid is ?

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by Nazee

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by Nazee

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The Brainliest Answer!

576=3x×4x×6x

576=72x3(x cube)

576/72=x3(x cube)

8=x3(x cube)

2=x

sides are3x=6cm,4x=8,6x=12.

total surface area=2(lb+bh+hl)

=2(6×8+8×12+12×6)

=2(48+96+72)

=2×216

=432

total surface area of given cuboid is 432cm2(cm square).

Let the length be 3x cm, breadth be 4x cm and height be 6x cm.

The volume of the cuboid is given as 576cm³

volume of any cuboid = lbh

∴3x* 4x* 6x = 576 cm³

⇒72x³ = 576 cm³

⇒x³ = 576 / 72

⇒x³ = 8

⇒x = 2 cm

∴length = 3x = 6cm

breadth = 4x = 8cm

height = 6x = 12cm

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

⇒2[(6*8) + (8*12) + (12*6)

⇒2(48 + 96 + 72)

⇒2(216)

⇒432 cm²