Mensuration Class 8 MCQ Maths Chapter 11

MCQ on Mensuration for Class 8

Class 8 Maths Chapter 11 Mensuration MCQ

MCQ of Mensuration Class 8

I. Choose the correct answer.

Question 1.
Area of rectangle is 98 cm², and its length is double to its breadth. Then they are _________, _______ cms.
A) 6, 12
B) 14, 7
C) 14, 6
D) none
Answer:
B) 14, 7

Question 2.
Two parallel sides of Trapezium are 6 cm and 10 cm if its area is 20 cm². Then distance between those two sides is __________ cm.
A) 5
B) 6
C) \(\frac{7}{2}\)
D) \(\frac{5}{2}\)
Answer:
D) \(\frac{5}{2}\)

Question 3.
Side of a square is 8.5 cm. Another square has half of this a side. Then ratio of areas of these two squares is __________ .
A) 4 : 1
B) 8.5 : 4.25
C) 1 : 6
D) 2 : 5
Answer:
A) 4 : 1

Question 4.
Two hemispheres are attached as shown in figure, find its perimeter.

A) 34
B) 56
C) 42
D) 54
Answer:
C) 42

Question 5.
Perimeter of the following is __________ cm.

A) 2.856
B) 11.2
C) 14
D) 22.8
Answer:
D) 22.8

Question 6.
Area of a square is 49 cm², then its perimeter is __________ .
A) 7 cm
B) 14 cm
C) 21 cm
D) 28 cm
Answer:
D) 28 cm

Question 7.
Formula for perimeter of a semi-circle is __________ .
A) πr
B) 2πr
C) \(\frac{36}{7}\)
D) \(\frac{36}{7}\) r
Answer:
D) \(\frac{36}{7}\) r

Question 8.
The area of trapezium shown below is ____________ .
Given AD//BC, BC = 4 cm, AD = 8 cm, CE = 6 cm

A) 36 cm²
B) 72 cm²
C) 40 cm²
D) 28 cm²
Answer:
A) 36 cm²

Question 9.
KLMN is a parallelogram as shown, then its area .
KL = 6.4 cm, ML = 4.6 cm, MO = 4.2 cm.

A) 2.688 cm²
B) 27.52 cm²
C) 26.88 cm²
D) none
Answer:
C) 26.88 cm²

Question 10.
What is the area of quadrilateral given below ?
PR = 6.2 cm, SU = 4.8, QT – 2.2

A) 21.7 cm²
B) 0.217 m²
C) 21.7 m²
D) 2170 cm²
Answer:
A) 21.7 cm²

Question 11.
Distance between two parallel side of a trapezium is 18 cm and its area is 405 cm², if one of its parallel side is 5 cm more than the other, then the bigger side of them is ____________ .
A) 20 cm
B) 22 cm
C) 25 cm
D) 30 cm
Answer:
C) 25 cm

Question 12.
Area of the following triangle is 264 cm² if LM is 22 cm, then KN =?

A) 24 cm
B) 20 cm
C) 18 cm
D) 6 cm
Answer:
A) 24 cm

Question 13.
Volume of a cube is 64 cm³, then its total surface area is _________ cm².
A) 64
B) 46
C) 96
D) 69
Answer:
C) 96

Question 14.
Base area and lateral surface area of a cuboid are 14 cm² and 41 cm². Then its total surface area is __________ cm².
A) 70
B) 69
C) 55
D) 82
Answer:
B) 69

Question 15.
Volume and base area of a cuboid are 40 cm³ and 10 cm², then its height is __________ m.
A) 4
B) 0.04
C) 40
D) 400
Answer:
B) 0.04

Question 16.
Formula for volume of a cylinder is __________ .
A) lbh
B) \(\frac{1}{3}\)πr²h
C) πr²h
D) \(\frac{4}{3}\)πr³
Answer:
C) πr²h

Question 17.
While making a cylinder from a rectangle, area of rectangle becomes __________ of cylinder.
A) volume
B) total surface area
C) height
D) lateral surface area
Answer:
D) lateral surface area

Question 18.
l, b, h of a cuboid are 3, 4, 5 cm, then the paper required to cover all its lateral sides __________ .
A) 94 an²
B) 70 cm²
C) 60 cm²
D) 120 cm²
Answer:
B) 70 cm²

Question 19.
Room measurements are 4m, 5m and height of wall is 3.5 m. The amount needed to paint all its 4 walls @ 60/m² is __________ .
A) Rs 2500/-
B) Rs 3700/-
C) Rs 3780/-
D) Rs 3550/-
Answer:
C) Rs 3780/-

Question 20.
A rectangle sheet of measurements of 44 cm length and 7 cm width is folded to make cylinder by joining two breadths. Then the amount of water that can fill in its is _________ litres.
A) 10.78
B) 1.078
C) 1078
D) 107.8
Answer:
B) 1.078

Question 21.
l, b, h of a cuboid are in a ratio of 3 : 2 : 1 and it is fully packed @ Rs 5/cm² at a cost of ₹ 1280, then the values of b, h, l are _________ .
A) 12 cm, 8 cm, 4 cm
B) 8 cm, 4 cm, 12 cm
C) 4 cm, 8 cm, 12 cm
D) 12 cm, 4 cm, 8 cm
Answer:
B) 8 cm, 4 cm, 12 cm

For the questions of A, R type from 22 to 27. Choose the correct answer from options below.
A) Both ‘A’ and ‘R’ are correct and ‘R’ is correct reason for ‘A’
B) Both ‘A’ and ‘R’ are true but ‘R’ is not correct reason for ‘A’.
C) ‘A’ is correct but ‘R’ is wrong.
D) ‘A’ is wrong but ‘R’ is correct.

Question 22.
Assertion (A) : Total surface area of a cylinder is 2πrh + 2πr²
Reason (R) : Total surface area is sum of L.S.A + Top area + bottom area, top and bottoms are circular in a cylinder.
Answer:
A) Both ‘A’ and ‘R’ are correct and ‘R’ is correct reason for ‘A’

Question 23.
Assertion (A) : Volume of a cuboid is lbh.
Reason (R) : Volume of a cylinder is πr²h.
Answer:
B) Both ‘A’ and ‘R’ are true but ‘R’ is not correct reason for ‘A’.

Question 24.
Assertion (A) : 2h(l + b) is formula for L.S.A of a cuboid.
Reason (R) : 2πrh is formula for LSA of a cube.
Answer:
C) ‘A’ is correct but ‘R’ is wrong.

Question 25.
Assertion (A) : 4l² is formula for T.S.A of a cube.
Reason (R) : l³ is formula for volume of a cube.
Answer:
D) ‘A’ is wrong but ‘R’ is correct.

Question 26.
Assertion (A) : 1 m³ = 1000 L.
Reason (R) : 1 cm³ = 1 mL.
Answer:
A) Both ‘A’ and ‘R’ are correct and ‘R’ is correct reason for ‘A’

Question 27.
Assertion (A) : Volume of a cube having 4 cm side is 64 cm².
Reason (R) : Volume of a cube having 5 cm side is 125 cm³.
Answer:
D) ‘A’ is wrong but ‘R’ is correct.

Question 28.
As shown in the figure below, 8 cubes balance 6 balls. How many cubes will balance 9 balls ?

A) 7 cubes
B) 11 cubes
C) 12 cubes
D) 15 cubes
Answer:
C) ‘A’ is correct but ‘R’ is wrong.

Question 29.
Shown below is a cylinder and one of its faces. The height of the cylinder is 20 cm and circumference of the face is 16π cm.

Note : Figure not to scale.)
What is the total surface area of the cylinder ?
A) 320 π cm²
B) 384 π cm²
C) 448 π cm²
D) 640 π cm²
Answer:
C) 448 π cm²

Question 30.

Shown above is a toy cube of side 10 cm At most how many such cubes can be packed in the box shown below ?

A) 60
B) 96
C) 140
D) 9600
Answer:
B) 96

Question 31.
How many edges does a cube have ?
A) 4
B) 6
C) 8
D) 12
Answer:
D) 12

Question 32.
What is the area of the remaining sheet after removing a smaller square of the sheet with a side of 3 metres from a larger square of the sheet with a side of 8 meters ?
A) 64 square metres
B) 55 square metres
C) 15 square metres
D) 9 square metres
Answer:
B) 55 square metres

Question 33.
How many litres of water can a cylindrical shaped water tank hold if it has a radius of 3.5 metres and a height of 6 meters
A) 110000 litres
B) 132000 litres
C) 231000 litres
D) 242000 litres
Answer:
C) 231000 litres

Question 34.
Kiran constructed a cuboidal shaped container with dimensions of 7m × 4m × 2.5 m and decided to paint all four of its lateral faces.
The cost of painting is Rs. 40 per square metre. Calculate the total cost of pain¬ting the lateral surfaces.
A) Rs. 6600
B) Rs. 5500
C) Rs. 3300
D) Rs. 2200
Answer:
D) Rs. 2200

Question 35.
What is the surface area of the cylinder formed by rolling a rectangular metal sheet end to end with dimensions 22 meters in length and 7 meters in width along its length?
A) 77 sq. meters
B) 154 sq. meters
C) 192 sq. meters
D) 231 sq. meters
Answer:
B) 154 sq. meters

II. Fill in the blanks.

1. The total surface area of a cylinder is 968 cm² and radius is 7 cm, then its height = __________ cm.
cm.
Answer:
15 cm

2. Side of a cube, whose volume is 216 litres is __________ cm.
Answer:
60 cm

3. If the dimensions of a cuboid are 60 × 54 × 30(cm), then how many small cubes of 3 cm side can be put in it ? __________ .
Answer:
3600

4. 1 cubic meter = __________ litres.
Answer:
1000

5. ‘lbh’ is formula for __________ of a cuboid.
Answer:
volume

6. Volume is amount of __________ occupied by a solid.
Answer:
region/space

7. A pump is pumping water @ 60 lit/min, then the time taken to fill a pond of 360 m³ volume is ___________ hours.
Answer:
100

8. 2πr (r + h) is formula for total surface area of a ___________ .
Answer:
cylinder

9. A 14 cm heigh cylinder has a volume of 280 cm³, then its base area is ___________ cm.
Answer:
20 cm

10. A cuboid of 60 small cubes was painted outside. Then number of small cubes that are painted its 3 sides is___________ .
Answer:
8

11. A rectangle has 10 cm long and 1 cm width. You can cut into squares to make a larger square, then side of the highest square you can make with them is ___________ .
Answer:
3 cm

III. Match the following.

Question 1.

A	B
1)	a) 2πrh
2) to paint sides	b) 1.716 cubic units
3) Volume of cuboid with measurements 1.1, 1.2, 1.3 is ________	c) total surface area of cuboid
4) 2(lb + bh + lh)	d) cuboid
5) Match box is in a shape of __________	e) area \(\frac{\mathrm{a}^2}{4}\) sqaure units

Answer:
(1, e) (2, a) (3, b) (4, c) (5, d)

A	B
1)	e) area \(\frac{\mathrm{a}^2}{4}\) sqaure units
2) to paint sides	a) 2πrh
3) Volume of cuboid with measurements 1.1, 1.2, 1.3 is ________	b) 1.716 cubic units
4) 2(lb + bh + lh)	c) total surface area of cuboid
5) Match box is in a shape of __________	d) cuboid

Question 2.

A	B
1) 4 × 5 × 6 cuboid will have a lateral surface area of _________ (l × b × h)	a) (Perimeter of base × Height)
2) A road roller having 70 cm radius Can roll _________ distance in 100 rolls	b) 1000
3) 1 m3 = _________ lit	c) LSA + bottom area + top area
4) Total surface area =	d) 440 meters
5) Lateral surface area =	e) 108 sq units.

Answer:
(1, e) (2, c) (3, d) (4, b) (5, a)

A	B
1) 4 × 5 × 6 cuboid will have a lateral surface area of _________ (l × b × h)	e) 108 sq units.
2) A road roller having 70 cm radius Can roll _________ distance in 100 rolls	c) LSA + bottom area + top area
3) 1 m3 = _________ lit	d) 440 meters
4) Total surface area =	b) 1000
5) Lateral surface area =	a) (Perimeter of base × Height)

Class 8 Maths MCQ