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CTET Mensuration — practice questions

Explore 62 free Mensuration questions in CTET Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Mensuration questions and exercises with answers

Showing questions 1–30 of 62.

The amount of space taken up by a solid object is called its what?Read the answer and worked solution →Which unit is suitable for measuring the volume of a box?Read the answer and worked solution →A cubical tank has an edge of 1.5 m. What volume does it have?Read the answer and worked solution →The surface area of a cube is 600 cm2. What is the length of its side?Read the answer and worked solution →A box measures 20 cm by 15 cm by 10 cm. Find the total area of all its faces.Read the answer and worked solution →A cuboidal room is 8 m long, 5 m wide and 4 m high. What is the area of its four walls?Read the answer and worked solution →Which expression gives the lateral surface area of a cuboid of length l, breadth b and height h?Read the answer and worked solution →How many pairs of identical faces does a cuboid have?Read the answer and worked solution →What are the faces of a closed cylindrical can made of?Read the answer and worked solution →What is the formula for the curved surface area of a cylinder of radius r and height h?Read the answer and worked solution →Which formula gives the total surface area of a closed cylinder?Read the answer and worked solution →What is the volume of a cylinder with base radius r and height h?Read the answer and worked solution →A cylinder has radius 7 cm and height 10 cm. Taking pi as 22/7, find its volume.Read the answer and worked solution →A closed cylinder has radius 7 cm and height 15 cm. Find its total surface area using pi = 22/7.Read the answer and worked solution →A cylinder of radius 7 cm has total surface area 1100 cm2. Using pi = 22/7, what is its height?Read the answer and worked solution →If the curved surface of a cylinder is cut open and laid flat, what shape results?Read the answer and worked solution →The flat rectangle from a cylinder's curved surface has a length equal to what?Read the answer and worked solution →Which term refers to the quantity that a container can hold?Read the answer and worked solution →A cubic metre equals how many litres?Read the answer and worked solution →One millilitre of water occupies how much volume?Read the answer and worked solution →A cuboid has volume 360 cm3 and base area 24 cm2. What is its height?Read the answer and worked solution →A store room is 8 m by 5 m by 3 m. How many boxes of 0.5 m3 each can it hold?Read the answer and worked solution →A trapezium shaped desk top has parallel sides 1 m and 1.2 m, and they are 0.8 m apart. What is its area?Read the answer and worked solution →Which expression gives the area of a trapezium with parallel sides a and b and height h?Read the answer and worked solution →A trapezium shaped field has area 270 m2 and height 12 m. One parallel side is 15 m. How long is the other one?Read the answer and worked solution →The diagonals of a rhombus measure 7.5 cm and 12 cm. What is its area?Read the answer and worked solution →How can the area of a rhombus be found from its two diagonals?Read the answer and worked solution →A rhombus has area 150 cm2 and one diagonal of 20 cm. What is the other diagonal?Read the answer and worked solution →3000 rhombus tiles have diagonals 45 cm and 30 cm. Polishing costs ₹4 per m2. Total cost?Read the answer and worked solution →A pentagon is divided by drawing two diagonals from one corner. Into how many triangles does it split?Read the answer and worked solution →

Worked practice questions

The amount of space taken up by a solid object is called its what?

  1. Surface area
  2. Lateral area
  3. Perimeter
  4. Volume
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Correct answer: D. Volume

1. The space a three dimensional object occupies is its volume. 2. Surface area measures the outside covering, perimeter measures a boundary length, and lateral area is only the side faces. 3. So the answer is volume. _Source: NCERT Class 8 Mathematics, Chapter 9 Mensuration, Volume of Cube, Cuboid and Cylinder_

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Which unit is suitable for measuring the volume of a box?

  1. Square metre
  2. Metre per second
  3. Cubic centimetre
  4. Square centimetre
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Correct answer: C. Cubic centimetre

1. Volume counts unit cubes, so it uses cubic units. 2. Square units measure area and the metre measures length. 3. The cubic centimetre is therefore the right choice. _Source: NCERT Class 8 Mathematics, Chapter 9 Mensuration, Volume of Cube, Cuboid and Cylinder_

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A cubical tank has an edge of 1.5 m. What volume does it have?

  1. 4.5 m3
  2. 3.375 m3
  3. 2.25 m3
  4. 6.75 m3
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Correct answer: B. 3.375 m3

1. Volume of a cube = edge cubed. 2. 1.5 × 1.5 × 1.5 = 3.375 m3. 3. 4.5 is 3 times the edge and 2.25 is only the area of a face. _Source: NCERT Class 8 Mathematics, Chapter 9 Mensuration, Volume of Cube, Cuboid and Cylinder_

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