the dimension of cuboid are in the ratio 4:3:1. if the total surface area is 3800cm square then find it's volume
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let the side of cuboid are = x
then 4x =l
3x=b
x=h
TSA of cuboid 2( lb+bh+hl)=3800cm²
2(12x²+3x²+4x²)=3800 cm²
2 ( 19x² ) =3800 cm²
38x²=3800 cm²
x²=3800/38
x²=100
x=√100
x=10 cm
4x=4×10=40cm
3x=3×10=30 cm
x=10 cm
volume of cuboid =l×b×h
=40×30×10=12000 cm³
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