If each side of a cube is doubled , then its volume becomes________ th

1.	If each side of a cube is doubled , then its volume becomes________ the original volume.Prove that.
Answer» ANS is VOLUME will become 8 TIME that of INITIAL volume. prove: let the EDGE of cube be l .then initial volume is V=l3 . now the edge is doubled then new edge becomes 2l. thus volume V(new)=(2l)3=23×l3=8l3=8(V(initial)).

If each side of a cube is doubled , then its volume becomes________ the original volume.Prove that.

Answer»

ANS is VOLUME will become 8 TIME that of INITIAL volume.

prove: let the EDGE of cube be l .then initial volume is V=l3 .

now the edge is doubled then new edge becomes 2l.

thus volume V(new)=(2l)3=23×l3=8l3=8(V(initial)).

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If each side of a cube is doubled , then its volume becomes________ the original volume.Prove that.

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