Question

The length,breadth and height of a cuboid are in the ratio of 3:4:6 and its volume is 576 cubic cm.Its total surface area is

Answer 1

Answer:

Step-by-step explanation:

Ratio of dimensions of cuboid = 3:4:6

Length = 3x, breadth = 4x, height = 6x

Volume of cuboid = 576cubic.m

Volume of cuboid = L x B x H

576 = 3x * 4x * 6x

576 = 72x^3

576/72 = x^3

8 = x^3

∛8 = x

2 = x

Put the value of x = 2 in dimensions ratio

Length = 3x = 3 x 2 = 6

Breadth = 4x = 4 x 2 = 8

Height = 6x = 6 x 2 = 12

T.S.A of cuboid = 2( LB + BH + HL)

= 2 (6x8 + 8x12 + 12x6)

= 2 (48 + 96 + 72)

= 2 (144 + 72)

= 2 (216)

= 432

Therefore, area of cuboid is 432sq.m

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