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The volume of the cuboid whose surface area is 208sq cm and the ratio of length, breadth and height is 2:3:4.

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192

190

answer is B.

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Detailed Solution

Concept- Concept- volume = length

×

breadth

×

height
Surface area

= 2 (

length

×

breadth

) + 2 (

length

×

height

) + 2 (

height

×

breadth )
So, let length, breadth, height be 2 x, 3 x, 4 x respectively, as they are in 2:3:4 ratio.
Surface area of the cuboid is

208 sqcm

.
Surface area

= 2 (

length

×

breadth

) + 2 (

length

×

height

) + 2 (

height

×

breadth )

Volume = length

×

breadth

×

height
Volume

= 2 x × 3 x × 4 x

Volume

= 24 x 3

We know that

x

is 2 , by using this value we get,
Volume

= 24 × (2) 3

Volume

= 192 cm 3

Hence, the correct answer is option 2 .

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The volume of the cuboid whose surface area is 208sq cm and the ratio of length, breadth and height is 2:3:4.

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Detailed Solution

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