the surface area of a cuboid is 208 cm² if its dimension are in the ratio 4:3:2 find its volume
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Answer:
Let the common factor be x
Length =2x
Breadth =3x
Height =4x
Surface area of cuboid is 2(hl+lb+bh)=208
2((2x)(3x)+(3x)(4x)+(2x)(4x))=208/2
(6x^2+12x^2+8x^2)=104
26x^2=104
x^2=4
x=2
length =2(2)=4cm
Breadth =3(2)=6cm
Height 4(2)=8cm
Volume lbh=4(6)(8)=24×8=192cm
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Answer:
192 cm3
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