Problema Solution
In two dimensions, if the width of a square is doubled, the area is multiplied by 4. Also, if the width of a square is tripled, the area is multiplied by 9. Consider what happens to area when the width of a square if quadrupled.
In three dimensions, if the width of a cube is doubled, the volume is multiplied by 8. Also, if the width of a cube is tripled, the volume is multiplied by 27. Consider what happens to volume when the width of a cube if quadrupled.
Can you formulate rules for these events?
Answer provided by our tutors
area = side^2
so if width of a square if quadrupled then area gets 16 times
volume when the width of a cube if quadrupled gets 64 times because volume = side^3