The Effect of Multiplying a Dimension by a Factor of k (Grade 10 NSC Matric Mathematics): Flashcards

📚Flashcards
The Effect of Multiplying a Dimension by a Factor of k
Sign up to keep revising.Create a free account to study more flashcards and track your progress.

Practise the cards

10 cards from this deck

Show

Dimensional scaling definition

Multiplying 3D shape dimensions by constant factor kk

1 dimension scaled by kk: volume effect

Volume scales by kk

2 dimensions scaled by kk: volume effect

Volume scales by k2k^2

All 3 dimensions scaled by kk: volume effect

Volume scales by k3k^3

All 3 dimensions scaled by kk: surface area effect

Surface area scales by k2k^2

Rectangular prism volume formula

V=l×b×hV = l \times b \times h

Cylinder volume formula

V=πr2hV = \pi r^2 h

Cylinder radius scaled by kk: volume effect

Volume scales by k2k^2

General volume scaling pattern (nn = dimensions scaled)

knk^n

When does surface area scale by k2k^2?

When ALL dimensions are scaled by kk

Explore Grade 10 NSC Matric Mathematics Revision Notes by Topics

Explore Grade 10 NSC Matric Mathematics Model Answers by Topics

Explore Grade 10 NSC Matric Mathematics Quizzes by Topics

Explore Grade 10 NSC Matric Mathematics Exam Questions by Topics

Join 100,000+ NSC Matric students studying Flashcards with us.

Select your subjects, and get access to A+ resources today.