Question

If the company doubles the length of each edge of a

cube, how will the volume of water inside the cube
change?
It will double.
A.
B. It will triple.
C.
D.
It will be four times the initial volume.
It will be eight times the initial volume.

Answer 1

It will be eight times the initial volume.

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Let the edge of the cube be a.

Its volume is a³.

If the edge is doubled, then the volume is:

• (2a)³ = 2³a³ = 8a³

As we see this is 8 times the initial volume.