Question

a cuboid has length of 30cm and breath 25cm . if it's total surface area is double the lateral surface area , then find it's height and volume?

Answer 1

tsa=2*lsa

2(lb+bh+hl)=2*2h(l+b)

2lb+2bh+2hl=4hl+4hb

2lb=4hl+4hb-2bh-2hl

2lb=2hl+2hb

2lb=2h(l+b)

2*30*25=2h(30+25)

1500=110h

1500/110=h

150/11=h

13.63cm=h

volume of cuboid=l*b*h

30*25*13.63=10222.5cubiccm