A ruler. Measure one of the sides, and take that measurement times itself three times, and you'll have the volume.
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You would measure it by mililiters.
The measure of the edge of a cube that has a volume of 729 inches to the third is: 9 inches.
You find the area of one side (base x height) and then multiply that by the depth of the cube.
length by width by height
Measure the length of the edge of the cube and multiply this by itself 3 times.Fill a measuring jug with enough water to cover the cube. Measure the level of water. Immerse the cube in the water in jug and measure the level of the water. The difference in level is the volume of the cube.