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Class 8

Explore popular questions from Mensuration for Class 8. This collection covers Mensuration previous year Class 8 questions hand picked by experienced teachers.

Mensuration

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Q 1. The area of a square whose perimeter is 16cm is

A

64 cm2

16 cm2

C

32 cm2

D

128 cm2

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Q 2. A rectangular field has dimensions of 72m and 65m. The area of the field is

4680 m2

B

4400 m2

C

4880 m2

D

4360 m2

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Q 3. The area of a right angled triangle, whose base is 8cm and hypotenuse is 10cm, is :

A

40 cm2

B

48 cm2

24 cm2

D

80 cm2

Explanation

Other side is 6cms using pythagorean theorem. Hence Area = 1/2 * Base * Height =1/2 * 8 * 6 = 24cm^2

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Q 4. Two parallel sides of a trapezium are of lengths 16 cm and 10cm and the distance between them is 8 cm. Area of the trapezium is

104 cm2

B

208 cm2

C

52 cm2

D

1280 cm2

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Q 5. Two parallel sides of a trapezium are of lengths a cm and b cm and distance between them is d cm. The area of the trapezium is given by :

A

(a + b) {tex}\times{/tex} d cm2

{tex}\frac{1}{2}{/tex}(a + b) {tex}\times{/tex} d cm2

C

2(a + b) {tex}\times{/tex} d cm2

D

none of these

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Q 6. The area of a trapezium of height 4 cm is 16 cm2. If one of the parallel sides is 4 cm, the other side will be

A

8 cm

B

2 cm

C

3cm

4 cm

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Q 7. In a trapezium, sum of two parallel sides is 20 cm and distance between them is 5cm. Its area is:

A

100 cm2

50 cm2

C

25 cm2

D

200 cm2

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Q 8. The volume of a cube whose edge is 5a is :

A

25 a3

B

125 a2

C

150 a2

125 a3

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Q 9. The volume of a cuboid whose length, breadth and height are 2a, 3b and 4c is :

A

6 abc

24 abc

C

48 abc

D

none of these

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Q 10. The volume of a cuboid whose length, breadth and height are in the ratio of 3 : 1 : 2 is

A

8 {tex}\times{/tex} breadth3

B

8 {tex}\times{/tex} length3

6 {tex}\times{/tex} breadth3

D

length {tex}\times{/tex} breadth

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Q 11. The volume of a water tank is 3 m3. Its capacity in litres is :

A

30

B

300

3000

D

none of these

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Q 12. The capacity of a cubical mug is 1 lit. The length of its edge is :

A

1 cm

10 cm

C

1 m

D

none of these

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Q 13. The surface area of an open box whose length, breadth and height are l, b and h respectively, is :

A

2(lb + bh + hl)

B

2(lb + bh) + hl

2(bh + hl) + lb

D

2(lb + hl) + bh

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Q 14. Two cubes each of edge 5 cm are joined end to end. The surface area of the resulting cuboid is:

A

125 cm2

B

240 cm2

250 cm2

D

500 cm2

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Q 15. If the ratio of the surface area of two cubes is 1 : 9, then the ratio of their volumes will be

A

1 : 9

1 : 27

C

1 : 36

D

1 : 18

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Q 16. Surface area of a cube is 150m2. The length of its length is

5m

B

10m

C

15m

D

6m

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Q 17. The total surface area of a cylinder whose height is twice the radius, 'r' is

A

8{tex}\pi^2{/tex}

B

36{tex}\pi^2 r{/tex}

6{tex}\pi r^2{/tex}

D

81{tex}r^2{/tex}

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Q 18. Radius of a cylinder is x cm and its height is 2x cm. Its volume is :

A

{tex}\pi{/tex}x3cm3

2{tex}\pi{/tex}x3cm3

C

3{tex}\pi{/tex}x3cm3

D

4{tex}\pi{/tex}x3cm3

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Q 19. The ratio of radii of two cylinders is 1 : 2. If the ratio of their heights is 2 : 1, then the ratio of their volume will be

1 : 2

B

1 : 4

C

2 : 1

D

4 : 1

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Q 20. If the height of a cylinder is equal to the radius of its base, then the curved surface area of the cylinder is:

A

2{tex}\pi{/tex}r

B

2{tex}\pi{/tex}r3

C

{tex}\pi{/tex}r2

2{tex}\pi{/tex}r2

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Q 21. If the base of a triangle is doubled and height is halved, its area will be

A

Doubled

B

Halved

C

One-fourth

Same

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Q 22. The area of square, whose diagonal is 12 cm, will be

A

144 cm2

72 cm2

C

36 cm2

D

48 cm2

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Q 23. The ratio of the areas of a square and a rectangle of length 4 cm and width 3 cm is 4 : 3. The side of the square will be

4 cm

B

3 cm

C

12 cm

D

9 cm

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Q 24. The adjacent sides of a parallelogram are 4 cm and 12 cm. The distance between the longer sides is 6 cm. The distance between the shorter sides will be

A

2 cm

B

14 cm

18 cm

D

8 cm

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Q 25. The diagonals of a rhombus are 9 cm and 6 cm. Its area will be

A

54 cm2

27 cm2

C

108 cm2

D

216 cm2