Question:
The proportions of the dimensions of a rectangular parallelepiped are 2:3:4. If its volume is 768 cm³, what is its smallest dimension?
एक आयताकार समांतर चतुष्फलक की विमाओं का अनुपात 2:3:4 है। यदि इसका आयतन 768 cm³ है, तो इसकी सबसे छोटी विमा क्या है?
Options:
- a) 6.34 cm
- b) 8.45 cm
- c) 12.25 cm
- d) 16.89 cm
- a) 6.34 cm
- b) 8.45 cm
- c) 12.25 cm
- d) 16.89 cm
correct answer : a)
Explanation:
2x * 3x * 4x = 768 => 24x³ = 768 => x³ = 32 => x ≈ 3.17. Smallest = 2x = 6.34.
2x * 3x * 4x = 768 => 24x³ = 768 => x³ = 32 => x ≈ 3.17. सबसे छोटी = 2x = 6.34.