what is the volume of a cuboid having surface area 208 cm^2 and the sides in the ratio 3:4:2?
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a:b:c side of cuboid = 3:4:2
let the common multiple be x
side a = 3x
side b= 4x and side 2x
Surface area of cuboid -
2(ab+bc+ac)=208
3x×4x + 4x×2x + 3x×2x= 104
12x + 8x + 6x= 104
26x=104
x=4
Therefore, a=3×4= 12cm; b= 4×4=16cm; c=2×4= 8cm
volume of cuboid-
abc
12×16×8= 1536cm³ (YOUR ANSWER)
p.s = Mark me as Brainliest if u liked my answer!
let the common multiple be x
side a = 3x
side b= 4x and side 2x
Surface area of cuboid -
2(ab+bc+ac)=208
3x×4x + 4x×2x + 3x×2x= 104
12x + 8x + 6x= 104
26x=104
x=4
Therefore, a=3×4= 12cm; b= 4×4=16cm; c=2×4= 8cm
volume of cuboid-
abc
12×16×8= 1536cm³ (YOUR ANSWER)
p.s = Mark me as Brainliest if u liked my answer!
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