3.
The length, breadth and height of cuboid are
in the ratio 6:5:3. If its total surface area is
504 cm2, find its volume.
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Answer:
Total surface area is 504 cm2 the length breadth and height of a cuboid are in the ratio 6:5:3
total surface area =2(lb+bh+lh)
504=2(30x2+15x2+18x2)
504=2x63x2
504 =126x2
x2=504/126=4
x=2cm
therefore
length =6x=6x2=12cm
breadth =5x=5(2)=10cm
height =3x=3(2)=6cm
volume of cuboid =area of the basex height =lxbxh=12x10x6=720cm3
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