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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 |
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Answer» Step-by-step explanation:RATIO of dimensions of cuboid = 3:4:6Length = 3x, breadth = 4X, height = 6xVolume of cuboid = 576cubic.mVolume of cuboid = L x B x H576 = 3x * 4x * 6x576 = 72x^3576/72 = x^38 = x^3∛8 = x2 = xPut the value of x = 2 in dimensions ratioLength = 3x = 3 x 2 = 6Breadth = 4x = 4 x 2 = 8Height = 6x = 6 x 2 = 12T.S.A of cuboid = 2( LB + BH + HL)= 2 (6x8 + 8x12 + 12x6)= 2 (48 + 96 + 72)= 2 (144 + 72)= 2 (216)= 432Therefore, area of cuboid is 432sq.mMARK MY ANSWER AS BRAINLIEST |
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