Class 8- Computational Thinking- Chapter 1 - A Square & A Cube - New NCERT AI textbook

Chapter 1: A Square and a Cube – Student-Friendly Summaries 1. Finding A + B Each circle contains: the sum of the squares of the connected numbers. Examples: 4^2+3^2=25 2^2+3^2=13 Find B: 9^2+B^2=117 So: B = 6 Find A: 6^2+A^2=85 So: A = 7 Therefore: 7 + 6 = 13 Answer: Option c 2. Minimum Distinct Numbers Sam needs: • 3 perfect squares • 3 perfect cubes Some numbers are both: • perfect squares • perfect cubes Examples: • 1 • 64 Using these common numbers reduces the total distinct numbers needed. Minimum distinct numbers = 4 Answer: Option b 3. Possible Values of C AB is a 2-digit number whose cube is a 4-digit number. Condition: • A less than C less than B Check cube endings carefully. Only numbers ending in: • 7 • 8 give cubes with smaller ending digits. Possible values of C: • 2 • 3 Total possible values = 2 Answer: Option a 4. Smallest Value of k We need: 56×k to become a perfect cube. Prime factors of 56: 56=2^3×7 To make a perfect cube, every prime factor must appear in groups of 3. We need two more 7s: k=7^2=49 Answer: Option b 5. Operations with Shapes Square shape → perfect square operation Cube shape → cube operation Expression: 14^2+12^3 Calculate: 14² = 196 12³ = 1728 Total: 196 + 1728 = 1924 Answer: Option c 6. Highest Possible Remainder XYZ is: • a 3-digit perfect square • made from multiples of 5 Squares ending in: • 0 → remainder 0 • 5 → remainder 25 Highest possible remainder = 25 Answer: Option d 7. Digit Appearing Most Times Pattern: n^3-(n-1)^3=1+n(n-1)×3 For: 13^3-12^3 Expression becomes: 1 + 13 × 12 × 3 Digit counts: 1 appears 3 times 2 appears 1 time 3 appears 2 times Digit 1 appears the most. Answer: Option a ________________________________________ 8. Maximum Sum in Shape A The grid must follow these rules: • each square and cube appears twice • same numbers cannot repeat diagonally • square and cube of same number cannot be in same row/column To get the maximum sum: • include the largest numbers in Shape A Largest useful numbers: • 125 • 64 • 8 Total: 125 + 64 + 8 = 197 Answer: Option a 9. Logic Machine First Tunnel Square the number and subtract 1. For 7: 7^2-1=48 So: A = 48 Second Tunnel Add the digits: 4 + 8 = 12 So: B = 12 Third Tunnel Cube the number: 12^3=1728 So: C = 1728 Total: 48 + 12 + 1728 = 1788 Answer: Option d 10. Finding the Missing Number Rule: Bottom number = √("Top" ×"Middle" ) For the last column: √(12×27)=18 Answer: Option b ________________________________________ Box Arrangement Puzzle Number Appearing Most in Shaded Boxes Rules: Adjacent boxes in the same column cannot have the same number Adjacent columns cannot have the same top number Top + bottom numbers must give the same sum By filling the boxes carefully: number 2 appears the most times in shaded boxes. It appears 3 times. Answer: Option b Class 8 AI & Computational Thinking | Chapter 1 A Square and A Cube -Easy Explanation-Complete Guide Welcome to this Class 8 Computational Thinking & AI lesson on Chapter 1 – A Square and A Cube. In this video, students will learn: Perfect squares and perfect cubes Patterns in numbers Logical and computational thinking Mathematical reasoning using AI & CT concepts Easy tricks and explanations for NCERT Class 8 This video is useful for: CBSE students NCERT learners Teachers and parents Students preparing for school assessments Watch till the end for easy examples, activities, and quick understanding. SSC Exams (कर्मचारी चयन आयोग) #ssc #ssccgl #chsl #sscmts #sscgd #sscje #ssccpo Banking Exams (बैंकिंग परीक्षाएं) #ibps #ibpspo #ibpsclerk #sbipo #sbiclerk #rbiassistant #rbigradeb Civil Services & State Exams (यूपीएससी और राज्य स्तरीय परीक्षाएं) #upsc #ias #ips #upsccs #pcs #uppcs (या आपके राज्य के अनुसार, जैसे: #bpsc, #mppsc, #ras) Railways Exams (रेलवे भर्ती) #rrb #rrbntpc #rrbgroupd #rrbalp Teaching Exams (शिक्षक पात्रता परीक्षा) #ctet #uptet #stet #tgtpgt #kvs #nvs Defense & Police Exams (रक्षा और पुलिस बल) #nda #cds #afcat #delhipolice #uppolice #agniveer General Educational & Trending Hashtags #governmentexams #sarkarinaukri #competitiveexams #examprep #gkonline #currentaffairs #studygramindia #ComputationalThinking #ArtificialIntelligence #Class8Math #Class8AI #NCERT #CBSE #ASquareAndACube #SquaresAndCubes #MathWithAI #AIEducation #GanithaPrakash #MiddleSchoolMath #MathConcepts #LearningMadeEasy #EducationalVideo #Class8NCERT #STEMEducation #MathPatterns #CBSEClass8 #MathLearning #computationalthinking #asquare&acube #chapter1 #logicalreasoning #logicalthinking #creativethinking #criticalthinking #aiineducation #education #educationalvideoforchildren #explanationsinenglish #entranceexam #olympiadclass8 #competitiveexams #class8ncertsolutions #grade8ncertsolutions #ncertsolutionsmaths #namitarajput #trendingvideo #viralvideo