In general, taking a shower will ensure you use less water than when taking a bath.
For shower systems that feature standard showerheads, around 2.5 gallons of water per minute will emerge, so a 10-minute shower will use about 25 gallons of water in total.
By contrast, filling a bath can take up to around 70 gallons of water, depending on the size.
So unless you are spending an hour or so in the shower, you’ll likely use significantly more water when taking a bath.
*1 gallon = 4.54 litres.