The dimensions of a cuboid are in the ratio 1 : 2 :3 and its total surface area is 88 m² . find the dimensions.
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Step-by-step explanation:
Let the dimensions of a cuboid be x cm,2x cm,3x cm.
then,
surface area of cuboid =88 cm^2
2 (x × 2x + 2x × 3x + 3x × x) =88
2 (2x^2 + 6x^2 + 3x^2 ) =88
2 ×11x^2 =88
x^2 = 88/22
x^2 = 4
x =2
volume of cuboid = (1x × 2x × 3x)
= 6x^3
= 6(2)^2
= 48 square cm
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