Question

The length, breadth and height of a cuboid are in the ratio 5:3:2. If its volume is 240
cm3; find its dimensions. (Dimensions means : its length, breadth and height). Also find
the total surface area of the cuboid.​

Answer 1

Answer:

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Answer 2

Answer:

Consider length of the given cuboid =5x

Breadth of the given cuboid =3x

Height of the given cuboid =2x

We know that

We know that

Volume of the given cuboid = Length×Breadth×height

Substituting the values

240cm3=5x×3x×2x

240cm3=30x3

x3=30240=8 

So we h get 

x=831

x=(2×2×2)31

∴x=2

Here

Length of the given cube =5x=5×2=10cm

Breadth of the given cube =3x=3×2=6cm

Height of the given cube =2x=2×2=4cm

We know that

Total surface area of the given cuboid =2(l×b+b×h+h×l)

Substituting the values

=2(10×6+6×4+4×10)=2(60+24+40)=2×124=248cm2