Question

the dimensions of cuboid are in ratio 1:2:3 and it's surface area is 1078cm².find it's volume​

Answer 1

Answer:

Let length : breadth : height = 1 : 2 : 3

⇒ l =x , b = 2x , h = 3x

TSA of a cuboid = 2(lb+bh+lh)

=2(x×2x+2x×3x+x×3x)

=2(2x

2

+6x

2

+3x

2

)

88m

2

=22x

2

m

2

⇒x

2

=

22

88

m

2

m

2

∴x=±2

So the dimensions are 2×4×6