The length, breadth and height of a cuboid are in the ratio 5:4:2. If the total surface area of cuboid is 1216 sq .cm. Find the volume of cuboid.
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Step-by-step explanation:
Let the length, breadth and height of the cuboid be 5x, 4x and 2x, respectively.
The total surface area of the cuboid is 2(LB +BH +HL) = 1216, or
(LB +BH +HL) = 608, or
(20x^2 + 8x^2 + 10x^2) = 608, or
38x^2 = 608, or
x^2 = 608/38 = 16, or x = 4.
The dimensions of the cuboid are 20 cm x 16 cm x 8 cm and so its volume = 2560
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the length and breadth and height of cuboid in the ratio 1:2:3. the length breadth and height of the cuboid are increased by 100% 200% and 300% respectively then the increase in the volume of the cuboid is a,5times b,6times c,12 times. d,17 times
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