Surface Areas and Volumes — Class 9 Mathematics NCERT Solutions (Free)

Free step-by-step NCERT solutions for Class 9 Mathematics chapter "Surface Areas and Volumes" — 8 important questions with detailed answers for CBSE board exam preparation.

TL;DR: Free step-by-step NCERT solutions for Class 9 Mathematics chapter "Surface Areas and Volumes" — 8 important questions with detailed answers for CBSE b…

By Syllab.in · Updated

Key Questions Covered:

  1. Find the total surface area and volume of a cuboid (rectangular prism) with l…
  2. A cylinder has radius 7 cm and height 10 cm. Find its curved surface area, to…
  3. A cone has base radius 5 cm, height 12 cm. Find the slant height, curved surf…
  4. + 5 more questions in the full chapter

Solutions Summary:

Question Status
Find the total surface area and volume of a cuboid (recta… ✓ Solved
A cylinder has radius 7 cm and height 10 cm. Find its cur… ✓ Solved
A cone has base radius 5 cm, height 12 cm. Find the slant… ✓ Solved

Showing 3 of 8 questions

Q1: Find the total surface area and volume of a cuboid (rectangular prism) with length 12 cm, breadth 8 cm, and height 6 cm.

Step 1: Cuboid dimensions: Length (l) = 12 cm Breadth (b) = 8 cm Height (h) = 6 cm Step 2: Total Surface Area of Cuboid: Formula: Total Surface Area = 2(lb + bh + hl) Step 3: Calculate each product: lb = 12 × 8 = 96 cm² bh = 8 × 6 = 48 cm² hl = 6 × 12 = 72 cm² Step 4: Sum of products: lb + bh + h...

Q2: A cylinder has radius 7 cm and height 10 cm. Find its curved surface area, total surface area, and volume.

Step 1: Cylinder dimensions: Radius (r) = 7 cm Height (h) = 10 cm Step 2: Curved Surface Area (Lateral Surface Area): Formula: Curved Surface Area = 2πrh Curved Surface Area = 2 × π × 7 × 10 Curved Surface Area = 140π cm² Curved Surface Area ≈ 140 × 3.14159 ≈ 439.82 cm² Step 3: Area of Two Circula...

Q3: A cone has base radius 5 cm, height 12 cm. Find the slant height, curved surface area, total surface area, and volume.

Step 1: Cone dimensions: Base radius (r) = 5 cm Height (h) = 12 cm Slant height (l) = ? Step 2: Find slant height using Pythagoras theorem: The slant height, radius, and height form a right triangle. l² = r² + h² l² = 5² + 12² l² = 25 + 144 l² = 169 l = 13 cm Step 3: Curved Surface Area (Lateral S...

Showing 3 of 8 questions. Visit the full page for complete solutions.