(1) how many times will its surface area increase?
(ii) how many times will its volume increase?
If each edge of a cube is doubled,
Answers
Answer:
1.If the edge of the cube is doubled volume of the cube is increases by 8 times. If the edge of the cube is doubled surface area of the cube increases by 4 times. If the edge of the cube is doubled volume of the cube is increases by 8 times.
2.if a cube edges are doubled , then , automatically all the six sides surfaces will be doubled in all directions , causing the cube to grow in all 3 directions. this will lead the cube volume to increase by eight times its original volume .
Step-by-step explanation:
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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