Mensuration (Areas and Volumes) (Class 8 Mathematics)

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

Mensuration (Areas and Volumes) (Class 8 Mathematics)

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

✓ 100% Free ✓ No Login Needed ✓ NCERT / CBSE Aligned ✓ Download as PDF

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

🤖 Stuck on any question? Ask Syllab's free AI Tutor for a step-by-step explanation — instant, unlimited, no login.

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

Explanation: Area of rectangle = length × breadth = 5 × 3 = 15 sq.cm.

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

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

Explanation: Area of triangle = (1/2) × base × height = (1/2) × 8 × 6 = 24 sq.cm.

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

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

Explanation: Perimeter of square = 4 × side = 4 × 10 = 40 cm.

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

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

Explanation: Area of circle = πr² = (22/7) × 7 × 7 = 22 × 7 = 154 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. 12 cu.cm
  3. 18 cu.cm
  4. 24 cu.cm ✓ (correct)

Explanation: Volume of cuboid = length × breadth × height = 4 × 3 × 2 = 24 cu.cm.

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

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

Explanation: Volume of cube = side³ = 5³ = 125 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

Explanation: Surface area of cube = 6 × side² = 6 × 4² = 6 × 16 = 96 sq.cm.

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

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

Explanation: Circumference = 2πr = 2 × 3.14 × 10 = 62.8 cm.

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

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

Explanation: Area of trapezium = (1/2) × (sum of parallel sides) × height = (1/2) × (5 + 9) × 4 = (1/2) × 14 × 4 = 28 sq.cm.

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

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

Explanation: Volume of cylinder = πr²h = 3.14 × 3² × 5 = 3.14 × 9 × 5 = 141.3 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 Class 8 Mathematics MCQs

🤖 Stuck on any of these? Ask Syllab's free AI Tutor to explain step by step →