If each edge of a cube is doubled, (b) how many times will its volume increase?
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Answer:
The volume of the cube increases by eight times.
Step-by-step explanation:
⇒(i) Initial surface area =6×l×l
New surface area =6×(2×l)×(2×l)=4× initial surface area.
So, the new surface area will be increased by 4 times.
⇒(ii) Intial volume =l×l×l
Final volume =(2l)×(2l)×(2l)=8× initial volume.
So, volume of the cube will be increased by 8 times.
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