Question
[38]. A cubical aquarium is filled with water measured in unit cubes, 343 unit cubes in all, with the water reaching every corner. How many unit cubes lie along one edge of the aquarium? / एक घनाकार मछलीघर पानी से भरा है जिसे इकाई घनों में मापा गया है, कुल 343 इकाई घन, और पानी हर कोने तक पहुँचता है। मछलीघर की एक किनारे पर कितने इकाई घन आते हैं?
Option 3 : 7
Detailed Solution
सही उत्तर 7 है।
If n cubes lie along each edge, n³ = 343. Since 7³ = 343, n = 7, so the cube root of 343 is 7. / यदि हर किनारे पर n घन हों तो n³ = 343। चूँकि 7³ = 343 है, n = 7, इसलिए 343 का घनमूल 7 है।
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prepsnap.in • Mock TestQuestion:
[38]. A cubical aquarium is filled with water measured in unit cubes, 343 unit cubes in all, with the water reaching every corner. How many unit cubes lie along one edge of the aquarium? / एक घनाकार मछलीघर पानी से भरा है जिसे इकाई घनों में मापा गया है, कुल 343 इकाई घन, और पानी हर कोने तक पहुँचता है। मछलीघर की एक किनारे पर कितने इकाई घन आते हैं?
Correct Answer: 7
If n cubes lie along each edge, n³ = 343. Since 7³ = 343, n = 7, so the cube root of 343 is 7. / यदि हर किनारे पर n घन हों तो n³ = 343। चूँकि 7³ = 343 है, n = 7, इसलिए 343 का घनमूल 7 है।