Mensuration Test

Question 1
1 / -0

The total surface area of a cube is 216 cm². What is its edge length?

A
6 cm

B
cm

C
cm

D
cm

Question 2
1 / -0

Let 'a' and 'b' respectively be the radius of the base and the height of a right circular cylinder. Which of the following expressions represents the ratio of its curved surface area to its total surface area?

A

B

C

D

Question 3
1 / -0

The length, breadth, height, volume, total surface area, and lateral surface area of a cuboidal box are , b, h, v, S₁ and S₂, respectively. Which of the following relations is true?

A
=

B
b =

C
S₁ = 2h( + b)

D
S₂ = 2(b + bh + h)

Question 4
1 / -0

The radii of two cylinders are in the ratio 4 : 3 and their heights are in the ratio 7 : 2. The ratio of their volumes is

A
16 : 9

B
49 : 3

C
14 : 3

D
56 : 9

Question 5
1 / -0

Two cubes of edge 8 cm each are joined. What is the volume of the resultant solid?

A
256 cm³

B
512 cm³

C
1014 cm³

D
1024 cm³

Question 6
1 / -0

If V, p and q are the volume, base radius and height of a right circular cylinder, respectively, then which of the following relationships is true?

A
= 2p

B
Vp = q

C
= q

D
= q²

Question 7
1 / -0

The perimeter of a rhombus is 240 m and the distance between any two parallel sides is 20 m. The area of the rhombus (in sq.m) is

A
600

B
1200

C
2400

D
4800

Question 8
1 / -0

Calculate the volume (in cm³) of the given solid.

A
^{_{30 + 6}}

B
^{_{30 + 10}}

C
30 + 4

D
30 + 12

Question 9
1 / -0

A right circular cylinder of height 15 cm and radius 7 cm is melted and recast into two identical cylinders, each of height 7.5 cm. What is the base radius of each cylinder?

A
7 cm

B
9.8 cm

C
7.5 cm

D
49 cm

Question 10
1 / -0

If the volume of a cuboid is 1000 m³ and the area of its base is 50 m², then what is the height of the cuboid?

A
21 m

B
20 m

C
60 m

D
70 m

Question 11
1 / -0

A rectangular tank of length and breadth 2 m and 1.25 m respectively is half full. If 500 litres of water is poured into the tank, the rise of water-level in the tank will be

A
20 cm

B
30 cm

C
35 cm

D
40 cm

Question 12
1 / -0

A cylindrical roller of diameter 140 cm covered an area of 220 sq. m in 20 revolutions. Find the length of the roller.

A
1.25 m

B
2.5 m

C
3 m

D
50 m

Question 13
1 / -0

Find the area swept by minute hand in 15 minutes if the length of the minute hand is 15 cm.

A
179.500 cm²

B
178.566 cm²

C
176.786 cm²

D
176.468 cm²

Question 14
1 / -0

Find the breadth of a swimming pool whose length is 40 m and the ratio of numerical values of its area (in m²) and perimeter (in m) is 20 : 12. The pool is rectangular in shape.

A
20/11 m

B
30/11 m

C
40/11 m

D
25/11 m

Question 15
1 / -0

A circular stage is to be made in a school. The radius of the stage is 30 m. Now a circular pavement of 10 m width is to be made around it. This has to be covered with red carpet. The cost of red carpet is Rs. 15 per square m. What will be the total cost of carpeting?

A
Rs. 35,000

B
Rs. 34,000

C
Rs. 33,600

D
Rs. 33,000

Question 16
1 / -0

^{_{Nikhil`s father bought a cake of dimensions 12 cm}_{15 cm}_{10 cm. If he served each of his friends a piece of cake of dimensions 5 cm}_{2 cm}_{6 cm, then how many friends ate the cake?}}

A
10

B
20

C
30

D
40

Question 17
1 / -0

A wooden box measures externally 4 m × 3 m × 2 m. The thickness of all four sides is 5 cm. If the capacity of the box is 18.096 m³, find the thickness of the bottom.

A
0.3 m

B
0.1 m

C
0.2 m

D
0.4 m

Question 18
1 / -0

A field is in the form of a triangle with the base being three times its altitude. If the cost of cultivating the field at Rs. 24.68 per hectare is Rs. 333.18, then find the base and altitude of the triangle made.

A
B = 600 m, A = 200 m

B
B = 300 m, A = 100 m

C
B = 900 m, A = 300 m

D
None of these

Question 19
1 / -0

A rectangular sheet with dimensions 22 m × 10 m is rolled into a cylinder such that the smaller side becomes the height of the cylinder. What is the volume of the cylinder so formed?

A
365 m³

B
385 m³

C
400 m³

D
1210 m³

Question 20
1 / -0

A group of 25 people jumped into a swimming pool of a hotel for swimming. If the swimming pool is 30 m × 15 m and the average displacement of water by a person is 1.8 m³, then the rise in the water level in the pool will be

A
10 cm

B
15 cm

C
20 cm

D
25 cm

Question 21
1 / -0

A piece of metal pipe is 7 cm long with inner diameter of the cross section as 4 cm. If the outer diameter is 4.5 cm and the metal weighs 8 gm/cu. cm, then the weight of the pipe is

A
187 g

B
187 kg

C
1.87 kg

D
None of these

Question 22
1 / -0

In a trapezium, the shortest distance between the two parallel sides is 30 m and its area is 900 sq. m. If the ratio between the lengths of the parallel sides of the trapezium is 3 : 2, then find the sum of the lengths of the parallel sides.

A
45 m

B
60 m

C
70 m

D
85 m

Question 23

1 / -0

Fill in the blanks and choose the correct answer with the help of the table given below.

(i) The lateral surface area of a cuboid becomes ______ times its original value if its length, breadth and height are doubled.
(ii) The volume of a cylinder becomes ______ times its original value if its radius is doubled and height is halved.
(iii) Opposite faces of a cuboid _____ equal in area.
(iv) In a rectangle, if the length (l) is halved and the breadth (b) is doubled, then the perimeter of the rectangle will be ______.

	(i)	(ii)	(iii)	(iv)
(A)	2	2	equal	l + 2b
(B)	3	3	unequal	2(l + b)
(C)	4	2	equal	l + 4b
(D)	2	3	unequal	4l + b

(A)

(B)

(C)

(D)

Question 24

1 / -0

Match the following:

Column I	Column II
1. The surface area of a cube is 3456 cm². The volume of the cube (in cm³) will be	A. 300
2. The total distance (in m) covered by a girl if she takes a round of a regular heptagonal-shaped park of side 6 m is	B. 42
3. The percentage increase in the surface area of a cube when its edge length is doubled is	C. 13,824
4. The greatest number of cubes with each edge measuring 1 cm that can be cut from a cube with each edge measuring 8 cm is	D. 512

1 - A, 2 - B, 3 - C, 4 - D

1 - B, 2 - C, 3 - A, 4 - D

1 - C, 2 - B, 3 - A, 4 - D

1 - C, 2 - B, 3 - D, 4 - A

Question 25
1 / -0

Water flows through a cylindrical pipe of inner diameter 7 cm at 192.5 litres per minute. Find (in kilometres per hour) the rate of flow of water. [1 litre = 1 cu. dm]

A
2 km/hr

B
3 km/hr

C
4 km/hr

D
5 km/hr

Submit Test

Mensuration Tes...

Question 1

6 cm

cm

cm

cm

Question 2

Question 3

=

b =

S1 = 2h( + b)

S2 = 2(b + bh + h)

Question 4

16 : 9

49 : 3

14 : 3

56 : 9

Question 5

256 cm3

512 cm3

1014 cm3

1024 cm3

Question 6

= 2p

Vp = q

= q

= q2

Question 7

600

1200

2400

4800

Question 8

30 + 6

30 + 10

30 + 4

30 + 12

Question 9

7 cm

9.8 cm

7.5 cm

49 cm

Question 10

21 m

20 m

60 m

70 m

Question 11

20 cm

30 cm

35 cm

40 cm

Question 12

1.25 m

2.5 m

3 m

50 m

Question 13

179.500 cm2

178.566 cm2

176.786 cm2

176.468 cm2

Question 14

20/11 m

30/11 m

40/11 m

25/11 m

Question 15

Rs. 35,000

Rs. 34,000

Rs. 33,600

Rs. 33,000

Question 16

10

20

30

40

Question 17

0.3 m

0.1 m

S₁ = 2h( + b)

S₂ = 2(b + bh + h)

256 cm³

512 cm³

1014 cm³

1024 cm³

= q²

^{_{30 + 6}}

^{_{30 + 10}}

179.500 cm²

178.566 cm²

176.786 cm²

176.468 cm²

365 m³

385 m³

400 m³

1210 m³