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Area — Class 8 Mathematics NCERT Solutions (Free)

Free step-by-step NCERT solutions for Class 8 Mathematics chapter "Area" — 8 important questions with detailed answers for CBSE board exam preparation.

TL;DR: Free step-by-step NCERT solutions for Class 8 Mathematics chapter "Area" — 8 important questions with detailed answers for CBSE board exam preparation…

By Syllab.in · Updated Jun 14, 2026

Key Questions Covered:

  1. Find the area of a rectangle with length 8 cm and width 5 cm.
  2. Find the area of a triangle with base 12 cm and height 8 cm.
  3. Calculate the circumference and area of a circle with radius 7 cm.
  4. Find the area of a trapezoid with parallel sides 6 cm and 10 cm, and height 5…
  5. Find the surface area of a cube with side 4 cm.
  6. Find the volume of a rectangular prism with length 10 cm, width 6 cm, and hei…
  7. + 2 more questions in the full chapter

Solutions Summary:

Question Status
Find the area of a rectangle with length 8 cm and width 5… ✓ Solved
Find the area of a triangle with base 12 cm and height 8 cm. ✓ Solved
Calculate the circumference and area of a circle with rad… ✓ Solved
Find the area of a trapezoid with parallel sides 6 cm and… ✓ Solved
Find the surface area of a cube with side 4 cm. ✓ Solved
Find the volume of a rectangular prism with length 10 cm,… ✓ Solved

Showing 6 of 8 questions

Q1: Find the area of a rectangle with length 8 cm and width 5 cm.

Step 1: Area of rectangle = length × width Step 2: Area = 8 × 5 = 40 cm²

Q2: Find the area of a triangle with base 12 cm and height 8 cm.

Step 1: Area of triangle = (1/2) × base × height Step 2: Area = (1/2) × 12 × 8 Step 3: Area = (1/2) × 96 = 48 cm²

Q3: Calculate the circumference and area of a circle with radius 7 cm.

Step 1: Circumference = 2πr = 2 × π × 7 = 14π cm Step 2: Circumference ≈ 14 × 3.14 = 43.96 cm Step 3: Area = πr² = π × 7² = 49π cm² Step 4: Area ≈ 49 × 3.14 = 153.86 cm²

Q4: Find the area of a trapezoid with parallel sides 6 cm and 10 cm, and height 5 cm.

Step 1: Area of trapezoid = (1/2) × (sum of parallel sides) × height Step 2: Area = (1/2) × (6 + 10) × 5 Step 3: Area = (1/2) × 16 × 5 Step 4: Area = (1/2) × 80 = 40 cm²

Q5: Find the surface area of a cube with side 4 cm.

Step 1: A cube has 6 equal square faces. Step 2: Area of one face = side² = 4² = 16 cm² Step 3: Surface area = 6 × 16 = 96 cm²

Q6: Find the volume of a rectangular prism with length 10 cm, width 6 cm, and height 5 cm.

Step 1: Volume = length × width × height Step 2: Volume = 10 × 6 × 5 = 300 cm³

Showing 6 of 8 questions. Visit the full page for complete solutions.

More Class 8 Mathematics NCERT Solutions

  • A Square and a Cube — Class 8 Mathematics NCERT Solutions
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  • A Story of Numbers — Class 8 Mathematics NCERT Solutions
  • Quadrilaterals — Class 8 Mathematics NCERT Solutions
  • Number Play — Class 8 Mathematics NCERT Solutions
  • We Distribute Yet Things Multiply — Class 8 Mathematics NCERT Solutions
  • Proportional Reasoning 1 — Class 8 Mathematics NCERT Solutions
  • Fractions in Disguise — Class 8 Mathematics NCERT Solutions
  • The Baudhayana Pythagoras Theorem — Class 8 Mathematics NCERT Solutions
  • Proportional Reasoning 2 — Class 8 Mathematics NCERT Solutions
  • Exploring Some Geometric Themes — Class 8 Mathematics NCERT Solutions
  • Tales By Dots and Lines — Class 8 Mathematics NCERT Solutions
  • Algebra Play — Class 8 Mathematics NCERT Solutions

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