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Mensuration Sheet 02

The document contains a series of mensuration problems related to cubes and cuboids, including calculations for lateral surface area, total surface area, and longest diagonals. It presents multiple-choice questions with various dimensions and scenarios, such as melting cubes to form new ones and calculating painting costs. The problems are designed for SSC GD exam preparation.

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arshadmd60381
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4 views2 pages

Mensuration Sheet 02

The document contains a series of mensuration problems related to cubes and cuboids, including calculations for lateral surface area, total surface area, and longest diagonals. It presents multiple-choice questions with various dimensions and scenarios, such as melting cubes to form new ones and calculating painting costs. The problems are designed for SSC GD exam preparation.

Uploaded by

arshadmd60381
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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Sheet MENSURATION

02

MENSURATION 3D
Type – 07 6 cm respectively are melted to form a new cube.
Find the longest diagonal of the new cube.
CUBE/
8 cm 1 cm 6 cm
1. If the side of a cube is 8 cm then find the lateral
surface area of that cube.

(a) 265 cm2 (b) 200 cm2 (a) 9 2 cm (b) 7 3 cm


(c) 256 cm2 (d) 250 cm2 (c) 7 2 cm (d) 9 3 cm
2. If the lateral surface area of the cube is 100 m2
SSC GD 2023
then what is the total surface area of the cube ?
m2 Type – 08
CUBOID/

(a) 140 m2 (b) 160 m2 1. The length, breadth and height of a cuboid are 15
(c) 180 m2 (d) 150 m2 m, 12 m and 10 m respectively, then what is the
lateral surface area of that cuboid ?
3. If the total surface area of a cube is 600 m2 then
what is the side and volume of the cube?

(a) 520 m2 (b) 550 m2


(a) 512 (b) 11,1331 (c) 540 m2 (d) 500 m2
(c) 9,729 (d) 10,1000 2. The length, breadth and height of a cuboidal room
are 5 m, 4 m and 3 m respectively. What will be the
4. 3 solid cubes whose sides are 3 m, 4 m and 5 m
cost of painting its four walls and ceiling. If the
respectively are melted to form a new cube. The
cost of paint is Rs 20 per meter2 ?
total surface area of the new cube will be --------.

(a) 1500 (b) 1400 (c) 1480 (d) 1560


(a) 215 m2 (b) 115 m2
3. The sides of a cuboid are in the ratio 3 : 4 : 5 and
(c) 216 m2 (d) 116 m2
its volume is 480 cubic units. The difference be-
SSC GD 2023 tween the largest and the smallest side is ------
5. The side of a cube is 12 cm. Find the longest diago- units.
nal of the cube.

(a) 12 2 (b) 10 3 (a) 3 (b) 4 (c) 5 (d) 6


SSC GD 2022
(c) 12 3 (d) 10 2
4. The total surface area of a cuboid is 4200 cm2. If
6. Three solid cubes whose sides are 8 cm, 1 cm and the length and breadth of the cuboid are 15 cm

FOLLOW RAKESH YADAV SIR ON SOCIAL MEDIA 1


and 16 cm, find the height of the cuboid. SSC GD 2021
cm2 6. If the length, breadth and height of a cuboid are 16
cm cm cm, 15 cm and 12 cm respectively, then the length
of the longest diagonal of the cuboid is ----.
16 cm 15
(a) 3720 cm (b) 62 cm
cm 12 cm
(c) 60 cm (d) 7 cm
SSC GD 2022
5. If the measurement of a brick is 28 cm × 18 cm × 6 (a) 18 cm (b) 24 cm (c) 20 cm (d) 25 cm
cm, how many bricks will be required to build a SSC GD 2022
wall 21 m long, 12 m high and 36 cm thick?
28 cm × 18 cm × 6 cm 21 m
12 m 36 cm

(a) 20000 (b) 25000


(c) 30000 (d) 24000

2 FOLLOW RAKESH YADAV SIR ON SOCIAL MEDIA

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