Question

The edges of a cuboid are in the ratio 2:3:4 and its S.A is 208 cm". Then its volume is A) 20000 cm B) 192 cm cj 1920 cm D) 2400 cm​

Answer 1

Step-by-step explanation:

Answer

Let the common factor be x 

Length =2x

Breadth =3x

Height =4x

Surface area of cuboid is 2(hl+lb+bh)=2082((2x)(3x)+(3x)(4x)+(2x)(4x))=2086x2+12x2+8x2=10426x2=104x2=4x=2

length =2(2)=4cm

Breadth =3(2)=6cm

Height 4(2)=8cm

Volume lbh=4(6)(8)=24×8=192cm3