Page 67 - Concepts of Reasoning-8

Worksheet-13.4

Total Surface Area and Lateral Surface Area

1. Choose the odd one out and justify your answer :
a. i. cube ii. cone

iii. cylinder iv. circle
( ) _________________________________________________________________
b. i. cone ii. cuboid

iii. triangular prism iv. triangular pyramid
( ) _________________________________________________________________

c. i. cube ii. cone
iii. cylinder iv. sphere
( ) _________________________________________________________________

d. i. cube ii. cuboid
iii. tetrahedron iv. octahedron
( ) _________________________________________________________________

2. Match the following :

Groups A Group B
a. TSA of a cube ( ) i. 2 (l + b) h

b. LAS of a cuboid ( ) ii. 2prh
c. TSA of a cuboid ( ) iii. 2 (lb + bh + lh)
d. LSA of a cylinder ( ) iv. 2pr (h+ r)

e. TSA of a cylinder ( ) v. 6l 2

3. Answer the following word problems :
a. Find the lateral surface area and total surface area of a cube with side 9 cm.
___________________________________________________________________________
b. Find the area of side walls of a room whose dimensions are 12 m, 10 m and 8 m.
___________________________________________________________________________

c. Find the height of a room whose length is 10 cm, breadth is 25 cm and total surface area is 2635
2
cm .
___________________________________________________________________________
d. Find the metal sheet required to make a closed cylindrical tank of height 14 cm and diameter 90
cm.
___________________________________________________________________________

67 Reasoning - 8