The volume will be one-eighth times the volume.
How to determine the volume?
The scale factor k is given as
k = 1/2
Let the initial volume be v
When each side is multiplied by the scale factor, we have the new volume to be
V = k^3 * v
Substitute 1/2 for k in the above equation
V = (1/2)^3 *v
Evaluate the exponent
V = 1/8 *v
This gives
V = 1/8v
Hence, the volume will be one-eighth times the volume.
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