Chapter 14 | Mensuration | Class-8 DAV Secondary Mathematics

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Unit 14 Brain Teaser | Mensuration | Class-8 DAV Secondary Mathematics

A1. Tick (✓) the correct option.

(i) The volume of a cube of side 0.01 m in cm2 is

(a) 0.001 (b) 1 (c) 0.0001 (d) 0.000001

Chapter 14 | Mensuration | Class-8 DAV Secondary Mathematics

(ii) If the height of a cylinder is halved. its volume will be

(a) 1/2 times (b) 1/3 times (c) 2 times (d) 3 times

Chapter 14 | Mensuration | Class-8 DAV Secondary Mathematics

(iii) The area of a trapezium having two parallel sides as 10 cm and 12 cm and height as 4 cm is.

(a) 42 cm2 (b) 44 cm2 (c) 46 cm2 (d) 48 cm2

Chapter 14 | Mensuration | Class-8 DAV Secondary Mathematics

(iv) The number of faces a tetrahedron has

(a) 14 (b) 12 (c) 8 (d) 4

Chapter 14 | Mensuration | Class-8 DAV Secondary Mathematics

(v) If the length of side of a cube doubled, then the ratio of volumes of new cube and original cube is

(a) 1: 2 (b) 2 : 1
(c) 4 : 1 (d) 8 : 1

Chapter 14 | Mensuration | Class-8 DAV Secondary Mathematics

QB. Answer the following questions.

(i) Find the number of edges of a polyhedron having 20 faces and 12 vertices.

Chapter 14 | Mensuration | Class-8 DAV Secondary Mathematics

(ii) Find the surface area of a cube whose volume is 729 m3.

Chapter 14 | Mensuration | Class-8 DAV Secondary Mathematics

(iii) Volume of a cylinder is 2,376 cm3. If the diameter of its base is 12cm, then find its height.

Chapter 14 | Mensuration | Class-8 DAV Secondary Mathematics

(iv) Draw the solid represented by the views given below:

Chapter 14 | Mensuration | Class-8 DAV Secondary Mathematics
Chapter 14 | Mensuration | Class-8 DAV Secondary Mathematics

(iv) Find the total surface area of a cuboid of length 10cm, breadth 8 cm and height 6 cm.

Chapter 14 | Mensuration | Class-8 DAV Secondary Mathematics

Q2. Find the area of given quadrilateral.

Chapter 14 | Mensuration | Class-8 DAV Secondary Mathematics
Chapter 14 | Mensuration | Class-8 DAV Secondary Mathematics

Q3. A field is in the shape of a trapezium. One of its parallel sides is twice the other parallel side and distance between them is 100 m. If area of the field is 10,500 m2, find the length of the parallel sides.

Chapter 14 | Mensuration | Class-8 DAV Secondary Mathematics

Q4. Two parallel sides DC and AB of a trapezium are 12 cm and 36 cm respectively. If non-parallel sides are each equal to 15 cm, find the area of the trapezium.

Chapter 14 | Mensuration | Class-8 DAV Secondary Mathematics

Q5. The length, breadth and height of a cuboidal box are 2 m 10 cm, 1 m and 80 cm respectively. Find the area of canvas required to cover this box.

Chapter 14 | Mensuration | Class-8 DAV Secondary Mathematics

Q6. A metallic pipe is 0.7 cm thick. The inner radius of the pipe is 3.5 cm and length is 5 dm. Find its total surface area.

Chapter 14 | Mensuration | Class-8 DAV Secondary Mathematics

Q7. A cylinder of curved surface area 1250 m2 is formed from a rectangular metallic sheet. Find the dimensions of the rectangular sheet if its length is double its breadth.

Chapter 14 | Mensuration | Class-8 DAV Secondary Mathematics

Q8. Diameter and length of a roller are 84 cm and 120 cm respectively. In how many revolutions, can the roller level the playground of area 1584 m2?

Chapter 14 | Mensuration | Class-8 DAV Secondary Mathematics

Q9. Water is pouring into reservoir at the rate of 60 litres per minute. If the volume of the reservoir is 108 m3, find the number of hours it will take to fill the reservoir.

Chapter 14 | Mensuration | Class-8 DAV Secondary Mathematics

Q10. An iron pipe is 21 m long and its exterior diameter is 8 cm. If the thickness of the pipe is 1cm and iron weight is 8 g/cm3, find the weight of the pipe.

Chapter 14 | Mensuration | Class-8 DAV Secondary Mathematics

Q11. A well is dug 20 m deep and it has a diameter 7 m. The earth which is so dug out is spread evenly on a rectangular plot 22m long and 14 m broad. What is the height of the platform formed?

Chapter 14 | Mensuration | Class-8 DAV Secondary Mathematics

Q12. The volume of a right circular cylinder is 448π cm3 and height 7 cm. Find the lateral surface area total surface area.

Chapter 14 | Mensuration | Class-8 DAV Secondary Mathematics

Q13. Verify Euler’s formula for

(i) Square pyramid

Chapter 14 | Mensuration | Class-8 DAV Secondary Mathematics

(ii) Triangular prism

Chapter 14 | Mensuration | Class-8 DAV Secondary Mathematics

(iii) Rectangular prism.

Chapter 14 | Mensuration | Class-8 DAV Secondary Mathematics

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