Question

the surface area of a cuboid is 208cm square.IF it's dimension are in the ratio 4:2:3 find it's volume​

Answer 1

Answer:

Step-by-step explanation:

Let the common factor be x  

Length =2x

Breadth =3x

Height =4x

Surface area of cuboid is 2(hl+lb+bh)=208

2((2x)(3x)+(3x)(4x)+(2x)(4x))=208

6x  

2

+12x  

2

+8x  

2

=104

26x  

2

=104

x  

2

=4

x=2

length =2(2)=4cm

Breadth =3(2)=6cm

Height 4(2)=8cm

Volume lbh=4(6)(8)=24×8=192cm  

3