4. If each edge of a cube is doubled,
(1) how many times will its surface area increase?
(ii) how many times will its volume increase?
Answers
Answer:
Pls mark as the brainiest
Step-by-step explanation:
Surface area of cube=6a
2
Is sides of cube is doubled
New surface area is =6×4a
2
Divide 2 by 1
=24a
2
surfaceareaofcube1
surfaceareaofcube2
=
6a
2
24a
2
=4times
Surface area increased four times
Volume of cube= a
3
Volume of new cube= (2a)
3
=8a
3
Divide 2 by 1
volumeofcube
volumeofnewcube
=
a
3
8a
3
Volume increased 8 times
Step-by-step explanation:
Surface area of cube=6a2
Is sides of cube is doubled
New surface area is =6×4a2
Divide 2 by 1
=24a2surfaceareaofcube1surfaceareaofcube2=6a224a2=4times
Surface area increased four times
Volume of cube= a3
Volume of new cube= (2a)3
=8a3
Divide 2 by 1
volumeofcubevolumeofnewcube=a38a3
Volume increased 8 times