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Class 7 Mathematics Length, Perimeter and Area: Surface Area
The diagram below shows a wedge. What is its total surface area?
A. 36
c
m
2
B. 60
c
m
2
C. 96
c
m
2
D. 84
c
m
2
(7m 9s)
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1.
The diagram below shows a wedge. What is its total surface area? A. 36
c
m
2
B. 60
c
m
2
C. 96
c
m
2
D. 84
c
m
2
2.
A rectangular wall measures 8m by 3m. There are two doors each measuring 2m by 1.5m and four windows each measuring 2m by 1m. One side of the wall, except windows and door, is to be painted. What is the area of the wall will be painted? A. 10
m
2
B. 19
m
2
C. 24
m
2
D. 14
m
2
3.
The diagram below represents a wedge. What is the total surface area? A. 288 B. 360 C. 336 D. 384
4.
The figure below represents a half cylindrical solid whose dimensions are shown. What is the surface of the solid in
c
m
2
? A. 440 B. 594 C. 797 D. 874
5.
The diagram below represents Oyoo’s house. The two end faces of the house are to be painted. What is the area to be painted? A. 96
m
2
B. 80
m
2
C. 68
m
2
D. 40
m
2
6.
The figure below represents a triangular prism. What is the total surface area of the prism? A. 204
c
m
2
B. 192
c
m
2
C. 132
c
m
2
D. 90
c
m
2
7.
A cylinder which is open at one end has a radius of 6.3cm and a height of 25cm. What is the surface area of the cylinder in square centimetres? (Take
π
=
22
7
) A. 1114.74 B. 1239.48 C. 3118.50 D. 619.74
8.
A closed cylindrical tank has a radius of 1.05m and a height of 2m. What is the surface area of the tank? (Take
π
=
22
7
) A. 20.13
m
2
B. 16.665
m
2
C. 13.2
m
2
D. 6.93
m
2
9.
A closed cylindrical container has a radius of 1.4cm and height of 4cm. What is the surface area in
c
m
2
(Take
π
=
22
7
) A. 47.52 B. 4.136 C. 24.64 D. 20.68
10.
An open cylinder has a radius of 3
1
2
cm and a height of 10cm. What is its surface area? (Take
π
=
22
7
) A. 385
c
m
2
B. 220
c
m
2
C.
258
1
2
c
m
2
D.
297
c
m
2
11.
The area of curved surface of a cylinder is 6160
c
m
2
. The height of the cylinder is 10cm. What is the radius of the cylinder in centimetres? (Take
π
=
22
7
)] A. 98 B. 14 C. 196 D. 968
12.
The base of closed cuboid measures 4 cm by 5 cm and the height is 7cm. The base and the top parts of the cuboid are painted. What is the total surface area of the parts which are not painted? A. 166
c
m
2
B. 126
c
m
2
C. 63
c
m
2
D. 40
c
m
2
13.
An open cylindrical tin of diameter 14cm and height 21cm was painted on the outside. What was the area Painted? (Take
π
=
22
7
). A. 3234 B. 2464 C. 1232 D. 1078
14.
The diagram below represents a door which was painted on the outside. What was the area painted, in square metres? A. 1.17 B. 2.16 C. 2.34 D. 2.52
15.
The volume of an open rectangular tank is 24.3
c
m
3
. The tank has a square base. The height of the tank is 2.7metres. What is the surface area of the tank in square metres? A. 32.4 B. 41.4 C. 50.4 D. 178.2
16.
An open cylindrical tin has a diameter of 14cm and a height of 10cm. What is the surface area of the tin in
c
m
2
? (Take
π
=
22
7
). A. 1540 B. 1496 C. 748 D. 594
17.
The figure below represents a half of a cylindrical piece of wood of diameter 28cm and a length of 30cm. What is the surface area of the solid in
c
m
2
? (Take
π
=
22
7
) A. 4096 B. 2776 C. 2468 D. 1936
18.
What is the surface area of a cylindrical rod of height 17cm and diameter 14cm? (Take
π
=
22
7
) A. 748
c
m
2
B. 902
c
m
2
C. 1056
c
m
2
D. 2728
c
m
2
19.
The diagram below represents a metal solid made up of cylindrical bar fixed onto a cube. The cylindrical bar is 20cm long and has a diameter of 7cm. Each side of the cube is 9cm long. The surface of the solid was painted. What area in
c
m
2
was painted? (Take
π
=
22
7
) A. 1499 B. 964.5 C. 926 D. 845
20.
A cylindrical container has a radius of 6.3cm and is 15cm high. Its curved surface is completely covered with a label. What is the area of the label in
c
m
2
? (Take
π
=
22
7
) A. 297.00 B. 594.00 C. 843.48 D. 1871.10
21.
An open cylindrical tank has an internal diameter of 5.6cm and an internal height of 4cm. The inside of the tank was painted. What area of the tank, in square centimetres, was painted? (Take
π
=
22
7
) A. 119.68 B. 98.56 C. 95.04 D. 70.04
22.
The area of a curved surface of a cylinder is 1320
c
m
2
. The height of the cylinder is 10cm. What is the radius of the cylinder in centimeters? (Take
π
=
22
7
) A. 21 B. 42 C. 84 D. 132
23.
The figure below represents a half of a cylindrical piece of wood of diameter 28cm and a length 50cm. What is the surface area of the wood? (Take =
π
=
22
7
) A. 6416
c
m
2
B. 4216
c
m
2
C. 3908
c
m
2
D. 2816
c
m
2
24.
A closed cylindrical tank was made using metal sheets. The diameter of the tank was 1.4m and its height was 2m. How many square metres of the metal sheet was used to make the tank? (Take
π
=
22
7
) A. 3.08 B. 8.8 C. 10.4 D. 11.88
25.
An open rectangular tank has a base measuring 2.0m by 1.5m. It has a height of 2.5m. The surface of the tank was painted. What was the total area painted? A. 7.5
m
2
B. 11.75
m
2
C. 20.5
m
2
D. 23.5
m
2
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