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Mensuration (Areas and Volumes) (8 Mathematics)

Learn to calculate areas of 2D shapes and volumes of 3D objects. Master formulas and solve practical geometry problems.

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TL;DR: Learn to calculate areas of 2D shapes and volumes of 3D objects. Master formulas and solve practical geometry problems.

Written & reviewed by the Syllab.in Academic Team (CBSE/NCERT subject experts) · Updated Jul 23, 2026

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Learn to calculate areas of 2D shapes and volumes of 3D objects. Master formulas and solve practical geometry problems.

Mensuration (Areas and Volumes) MCQs with Answers & Explanations

Q1. What is the area of a rectangle with length 5 cm and breadth 3 cm?

  1. 8 sq.cm
  2. 15 sq.cm ✓ (correct)
  3. 16 sq.cm
  4. 20 sq.cm

Q2. What is the area of a triangle with base 8 cm and height 6 cm?

  1. 24 sq.cm ✓ (correct)
  2. 48 sq.cm
  3. 14 sq.cm
  4. 28 sq.cm

Q3. What is the perimeter of a square with side 10 cm?

  1. 20 cm
  2. 40 cm ✓ (correct)
  3. 100 cm
  4. 50 cm

Q4. What is the area of a circle with radius 7 cm? (Use π = 22/7)

  1. 154 sq.cm ✓ (correct)
  2. 308 sq.cm
  3. 77 sq.cm
  4. 88 sq.cm

Q5. What is the volume of a cuboid with length 4 cm, breadth 3 cm, and height 2 cm?

  1. 9 cu.cm
  2. 24 cu.cm ✓ (correct)
  3. 18 cu.cm
  4. 12 cu.cm

Q6. What is the volume of a cube with side 5 cm?

  1. 25 cu.cm
  2. 125 cu.cm ✓ (correct)
  3. 75 cu.cm
  4. 150 cu.cm

Q7. What is the surface area of a cube with side 4 cm?

  1. 64 sq.cm
  2. 96 sq.cm ✓ (correct)
  3. 48 sq.cm
  4. 128 sq.cm

Q8. What is the circumference of a circle with radius 10 cm? (Use π = 3.14)

  1. 31.4 cm
  2. 62.8 cm ✓ (correct)
  3. 314 cm
  4. 157 cm

Q9. What is the area of a trapezium with parallel sides 5 cm and 9 cm, and height 4 cm?

  1. 28 sq.cm ✓ (correct)
  2. 56 sq.cm
  3. 36 sq.cm
  4. 42 sq.cm

Q10. What is the volume of a cylinder with radius 3 cm and height 5 cm? (Use π = 3.14)

  1. 45.42 cu.cm
  2. 141.3 cu.cm ✓ (correct)
  3. 282.6 cu.cm
  4. 47.1 cu.cm

Frequently Asked Questions

When do I use area and when do I use perimeter?

Area measures the space inside a 2D shape (in sq.cm). Perimeter measures the distance around a shape (in cm). Perimeter is used for fencing; area for painting or flooring.

What is the difference between surface area and volume?

Surface area is the total area of all faces of a 3D object (in sq.cm). Volume is the space inside the 3D object (in cu.cm). Surface area for wrapping; volume for capacity.

More 8 Mathematics MCQs

  • Coordinate Geometry
  • Arithmetic Progressions
  • Circles
  • Surface Areas and Volumes
  • Trigonometry (Applications Case Study)
  • Probability (Case Study)

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