# NCERT Class 8 Mathematics Chapter 11 Exploring Some Geometric Themes Solutions: In-Text and Exercise Questions Explained | SwaVid The following questions are 'Figure it Out' questions from the NCERT Class 8 Mathematics textbook "Ganita Prakash-II", Chapter 4: "Exploring Some Geomet... Canonical: https://swavid.com/maths/class/8/chapter/exploring-some-geometric-themes/ncert-solutions Source: https://swavid.com/maths/class/8/chapter/exploring-some-geometric-themes/ncert-solutions # Exploring Some Geometric Themes ## Find the gaps before this chapter finds them for you. ## Related chapters Chapter 11 · Class 8 Mathematics The following questions are 'Figure it Out' questions from the NCERT Class 8 Mathematics textbook "Ganita Prakash-II", Chapter 4: "Exploring Some Geometric Themes". No distinct end-of-chapter exercise section was found in the search results; therefore, all identified questions are presented as in-text questions. Your study route Figure it Out (Page 70, 72, 73) Answer: The Sierpinski Carpet is constructed by repeatedly removing the central square of a 3x3 grid. Step 0 is a solid square. Step 1 shows 8 squares remaining with one central hole. Step 2 shows each of those 8 squares having its own central square removed, resulting in 64 remaining squares and more holes. Visual representation is key for understanding this fractal. Imagine drawing these steps. Before you push ahead Most stuck chapters trace back to one earlier idea. Check the prerequisites first, or let SwaVid adapt this chapter to the way your child learns. Keep exploring Class 8 Source - Step 0: Start with a single solid square. - Step 1: Divide the square into a 3x3 grid of 9 smaller squares. Remove the central square, creating a hole. This leaves 8 smaller solid squares. - Step 2: Repeat the process for each of the 8 remaining solid squares. Divide each of these 8 squares into a 3x3 grid and remove their central squares. This will create more holes and leave 8x8 = 64 even smaller solid squares. - NCERT Class 8 Mathematics textbook: Ganita Prakash-II : Chapter 11: Exploring Some Geometric Themes ## Key Links - [NCERT Mathematics](https://swavid.com/maths) - [Class 8](https://swavid.com/maths/class/8) - [Start with concepts](https://swavid.com/maths/class/8/chapter/exploring-some-geometric-themes) - [Check a prerequisite](https://swavid.com/learning-debt-identifier) - [Concepts](https://swavid.com/maths/class/8/chapter/exploring-some-geometric-themes) - [Practice](https://swavid.com/maths/class/8/chapter/exploring-some-geometric-themes/practice-questions) - [NCERT Solutions](https://swavid.com/maths/class/8/chapter/exploring-some-geometric-themes/ncert-solutions) - [Find the gaps before this chapter](https://swavid.com/learning-debt-identifier) - [Learn this chapter adapted to you](https://swavid.com/learning-style-test) - [Previous chapter 10 . Proportional Reasoning-2](https://swavid.com/maths/class/8/chapter/proportional-reasoning-2) - [Next chapter 12 . Tales by Dots and Lines](https://swavid.com/maths/class/8/chapter/tales-by-dots-and-lines) - [All Class 8 chapters](https://swavid.com/maths/class/8) - [10 Proportional Reasoning-2 Inverse Proportion · Solving Inverse Proportion Problems Open chapter](https://swavid.com/maths/class/8/chapter/proportional-reasoning-2) - [12 Tales by Dots and Lines The Cartesian Plane: Your Map for Numbers · Coordinates and Plotting Points: Finding Your Way Open chapter](https://swavid.com/maths/class/8/chapter/tales-by-dots-and-lines) - [9 The Baudhayana-Pythagoras Theorem Identifying Parts of a Right-Angled Triangle · The Core Theorem: Statement and Formula Open chapter](https://swavid.com/maths/class/8/chapter/the-baudhayana-pythagoras-theorem) - [NCERT Class 8 Mathematics textbook: Ganita Prakash-II](https://ncert.nic.in/textbook.php)