3. The dimensions of a cuboid are in the ratio 6:3:2. Its volume is 2.304 m². Find the dimensions,
and hence total surface area of cuboid.
can any one solve it step but step with explanation
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let,
l=6x,b=3x,h=2x
Volume of cuboid=l×b×h
2.304=6x×3x×2x
2.304=36x^3
0.064=x^3
cube of 0.064=x
0.4=x
l=2.4
b=1.2
h=0.8
total surface area=2(lb+lh+bh)
=2(2.4×1.2+2.4×0.8+1.2×0.8)
=2(5.76)
=11.52m^2
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