The correct option is A 3:7
Let, l be the length, b be the breadth and h be the height.
Given, length of the cuboid (l)=2b,
breadth of the cuboid (b)=2h,
Therefore, l=2×2h=4h,
where h is the height of the cuboid.
Lateral surface area
=2(lh+bh)=2(4h×h+2h×h)=12h2
Total surface area
=2(lb+bh+lh)=2(4h×2h+2h×h+4h×h)=28h2
Ratio
=Lateral surface areaTotal surface area=12 h228 h2=37
Therefore, the ratio of LSA to TSA is 3:7.