Question

Edges of a cuboid are in the ratio 1:2:3 and its volume is 48 cu cm. Length , breadth , height are respectively *​

Answer 1

Answer:

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Step-by-step explanation:

Let the length of the cuboid =x, breadth =2x, height =3x

Total surface area of a cuboid of length l, breadth b and height h =2(l×b+b×h+l×h)

Given, total surface area of the cuboid =88cm

2

2(x×2x+2x×3x+x×3x)=88cm

2

22x

2

=88

∴x=2

Hence, the length of the cuboid =x=2cm, breadth =2x=4cm, height =3x=6cm

Volume of a cuboid =l×b×h

So, the volume of the cuboid with length =2cm, breadth =4cm and height =6cm=2×4×6=48cm

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Answer 2

Answer:

Let the length of the cuboid =x, breadth =2x, height =3x

Total surface area of a cuboid of length l, breadth b and height h =2(l×b+b×h+l×h)

Given, total surface area of the cuboid =88cm

2

2(x×2x+2x×3x+x×3x)=88cm

2

22x

2

=88

∴x=2

Hence, the length of the cuboid =x=2cm, breadth =2x=4cm, height =3x=6cm

Volume of a cuboid =l×b×h

So, the volume of the cuboid with length =2cm, breadth =4cm and height =6cm=2×4×6=48cm

3

Step-by-step explanation:

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