Answer :
We know that the Volume of a cube = a3 where a is the side of the cube.
But given Volume of cube = 64 cm3
⇒ a3 = 64
Prime Factorization of 64:
⇒ 64 = 2 × 2 × 2 × 2 × 2 × 2
= 23 × 23
= 43
∴ a3 = 43
Powers are equal, so bases must be equated.
∴ a = 4 cm (Side of the cube)
Rate this question :
How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Quiz | Imp. Qs. on Playing With Numbers45 mins
Quiz | Become a Master in Rationalisation46 mins
Real meaning of Geography42 mins
Mathematics in Real Life34 mins
Champ Quiz | Number Series28 mins
Smart Revision | Quiz on Rational Number45 mins
NCERT | Quick Revision of Rational Number44 mins
Quiz | Imp. Qs. on Rational Numbers42 mins
On the Number line44 mins
Lets Explore the Number Line - Rational Numbers43 mins
Quiz | Imp. Qs. on Playing With Numbers45 minsQuiz | Become a Master in Rationalisation46 minsReal meaning of Geography42 minsMathematics in Real Life34 minsChamp Quiz | Number Series28 minsSmart Revision | Quiz on Rational Number45 minsNCERT | Quick Revision of Rational Number44 minsQuiz | Imp. Qs. on Rational Numbers42 minsOn the Number line44 minsLets Explore the Number Line - Rational Numbers43 minsTry our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
view all courses
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
RELATED QUESTIONS :
<span lang="EN-US
Tamilnadu - Math Term-1<span lang="EN-US
Tamilnadu - Math Term-1<span lang="EN-US
Tamilnadu - Math Term-1<span lang="EN-US
Tamilnadu - Math Term-1<span lang="EN-US
Tamilnadu - Math Term-1<span lang="EN-US
Tamilnadu - Math Term-1<span lang="EN-US
Tamilnadu - Math Term-1<span lang="EN-US
Tamilnadu - Math Term-1<span lang="EN-US
Tamilnadu - Math Term-1<span lang="EN-US
Tamilnadu - Math Term-1