10. The dimensions of a cuboid are in the ratio 1:2:3 and its volume is 384 cu.m. Find its dimensions and surface area.
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volume of cuboid = l× b × h m^2. l= 4m.
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Answer:
Volume of the cuboid=lbh=384 cu.m
⇒x×2x×3x=384
⇒6x
3
=384
⇒x
3
=
6
384
=64
⇒x=4 m
⇒length=l=x=4 m
Breadth=b=2x=2×4=8 m and height=h=3x=3×4=12 m
Thus, dimensions of the cuboid=4:8:12
Total surface area=2(lb+bh+lh)
=2(4×8+8×12+4×12)
=2(32+96+48)
=2×176=352 sq.m
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