If it's a solid multiply the length times the width times the height.
If it's a liquid use a graduated cylinder
If it's an irregular solid drop it into a beaker, flask, graduated cylinder, or any other water-measuring tool and record how much the water goes up from the original height to the height when the irregular solid was dropped in, and subtract.
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Multiply them: density*volume = mass
width = volume/(length*height)
Find the area of the base and divide by the volume and that should give you the height.
You don't. You need the height and the area of the base to find the volume.
Find the cube root of the volume. Volume of a cube = length of side^3 therefore length of side = volume^(1/3)