Question 43 of 58intermediate🔧 ApplyFill in the Blanks3 marks

नीचे दी गई तालिका को पूर्ण कीजिए।

13=11^3 = 1113=133111^3 = 1331
23=82^3 = 8123=12^3 =
33=273^3 = 27133=219713^3 = 2197
43=644^3 = 64143=274414^3 = 2744
53=1255^3 = 125153=15^3 =
63=6^3 =163=16^3 =
73=7^3 =173=491317^3 = 4913
83=8^3 =183=583218^3 = 5832
93=9^3 =193=685919^3 = 6859
103=10^3 =203=20^3 =
Correct Answer

(10310^{3} =) 1000

(12312^{3} =) 1728

(15315^{3} =) 3375

(16316^{3} =) 4096

(20320^{3} =) 8000

(636^{3} =) 216

(737^{3} =) 343

(838^{3} =) 512

(939^{3} =) 729

Exercise: 1.2 घन संख्याएँ | Q: IT35 | (Page 12)
For More Understanding

Explanation

तालिका को पूर्ण करने के लिए हम घन की परिभाषा n3=n×n×nn^3 = n \times n \times n का उपयोग करते हैं, जहाँ nn कोई भी संख्या है।

Solution Steps

  1. 123=12×12×12=172812^3 = 12 \times 12 \times 12 = 1728

  2. 153=15×15×15=337515^3 = 15 \times 15 \times 15 = 3375

  3. 63=6×6×6=2166^3 = 6 \times 6 \times 6 = 216

  4. 73=7×7×7=3437^3 = 7 \times 7 \times 7 = 343

  5. 83=8×8×8=5128^3 = 8 \times 8 \times 8 = 512

  6. 93=9×9×9=7299^3 = 9 \times 9 \times 9 = 729

  7. 103=10×10×10=100010^3 = 10 \times 10 \times 10 = 1000

  8. 163=16×16×16=409616^3 = 16 \times 16 \times 16 = 4096

  9. 203=20×20×20=800020^3 = 20 \times 20 \times 20 = 8000