Question

Find the L.S.A, T.S.A and volume of the cuboids having the length, breadth and height respectively as
(i) 5 cm, 2 cm , 11cm
(ii) 15 dm, 10 dm, 8 dm
(iii) 2 m, 3 m, 7 m
(iv) 20 m, 12 m, 8 m

Answer 1

i)LSA of cuboid$=2h(l+b)=2\times 11(5+2)=154\text{c}{m}^2$

TSA of cuboid$=2(lb+bh+hl)=2(5\times 2+2\times 11)=174\text{c}{m}^2$

Volume of cuboid$=lbh=5\times 2\times 11=110\text{c}{m}^2$

ii)LSA of cuboid$=2h(l+b)=2\times 8(15+10)=400d{m}^2$

TSA of cuboid$=2(lb+bh+hl)=2(15\times 10+10\times 8+8\times 15)=700d{m}^2$

Volume of cuboid$=lbh=15\times 10\times 8=1200d{m}^2$

iii)LSA of cuboid$=2h(l+b)=2\times 7(2+3)=70m^2$

TSA of cuboid$=2(lb+bh+hl)=2(2\times 3+3\times 7+7\times 2)=82m^2$

Volume of cuboid$=lbh=2\times 3\times 7=42m^2$

iv)LSA of cuboid$=2h(l+b)=2\times 8(20+12)=512c{m}^2$

TSA of cuboid$=2(lb+bh+hl)=2(20\times 12+12\times 8+8\times 20)=992m^2$

Volume of cuboid$=lbh=20\times 12\times 8=1920m^2$