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Mensuration Questions & Answers

Practice important Mensuration questions to improve your understanding of the concept. Mensuration questions and answers have a low weightage in the examination and must be polished in order to earn better scores.

Q201

Q201 A cube of side length 8cm is cut into 8 equal cubes. If 500g of paint was used to paint the larger cube, how many smaller cubes can be painted using the same amount of paint?

A

4

B

6

C

2

D

8

Q202

Q202 The radius of a circle is given as 3.7cm. If the radius of the circle is increased by 'a'cm, find the ratio of area of original circle to the new circle.

A

13.6913.69+7.4a+a2

B

13.697.4+13.69a+a2

C

13.69+7.4a+a213.69

D

13.69a213.69+7.4a+a2

Q203

Q203 Find the volume of juice in a cylindrical juice can of height 16cm with a capacity of 1l raised to a height of 9cm (in cubic cm).

A

462.42

B

562.42

C

362.42

D

662.42

Q204

Q204 Find the area of a spherical ball having a radius of (x-y)cm.

A

4π(x2+y2-2xy)

B

4π(x2+y2+2xy)

C

4π(x2-y2-2xy)

D

4π(x2-y2-2xy2)

Q205

Q205 Find the curved surface area of a right circular cone of radius 8cm formed by folding a semi-circle of diameter 22cm (in decimeter square).

A

5.12

B

3.45

C

2.76

D

1.92

Q206

Q206 Four cows are tied to a pole at the four corners of a square field of length 21m so that they can just reach other. If all of them completely the graze the area they can reach, then how much area is left ungrazed (in square meters)?

A

101.23

B

94.64

C

98.12

D

100.98

Q207

Q207 A man is walking at a speed of 3.5km/h in a square park. If the area of the park is 441 square meters, how long will he take to cross the park diagonally?

A

1 minute

B

39 seconds

C

1.5 minutes

D

0.5 minute

Q208

Q208 The surface areas of 3 adjusting faces of a cuboid are given as 98 square cm, 56 square cm and 81 square cm. Find the volume of the cuboid (in cubic cm).

A

498.12

B

598.27

C

619.13

D

666.72

Q209

Q209 Rajesh wants to build a wall using cuboidal bricks with length 16cm, breadth 10cm and height 5cm. If he used 100 such bricks (each row containing 10 bricks) and 1l of cement, calculate the height of wall so formed.

A

50.625cm

B

80.521cm

C

100.123cm

D

73.27cm

Q210

Q210 A 10cm cube is cut into as many 2cm cubes as possible. Find the ratio of surface areas of the larger cube to the sum of surface areas of the smaller cubes.

A

2:3

B

2:7

C

1:5

D

1:9

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