why is volume measured in cubic units?

Answer 1

First, when measuring length, it's best to use units of repeated lengths in one dimension, such as centimeters. You only need 1 dimension to define length. It makes sense to measure a length in terms of how many units of a fixed length give the same result. For example, an 8-inch long object is the same length as a the distance between the 0 and 8-inch mark on a ruler.

When measuring area, it's best to use units of the same scale in two dimensions, such as square centimeters. You only need two dimensions to define an area. It makes sense to measure an area in terms of how many units of a fixed area give the same result. For example, a carpet with an area of 8 square inches has the same area as eight 1"x1" squares.

So when measuring volume, it's best to use units of the same scale in three dimensions, such as cubic centimeters. You only need three dimensions to define a volume. It makes sense to measure a volume in terms of how many units of a fixed voume give the same result. For example, a container that holds 8 cubic inches has the same area as eight 1"x1"x1" cubes.

You don't necessarily need to measure volume based off of a cubic version of a length measure. You can measure volume in liters too, for example.

Answer 2

Volume involves 3-D. A sphere's volume is related to r^3, a cube's is related to x^3.

Answer 3

Because you're measuring [multiplying] three dimensions: length, width, and height.

Answer 4

b/c volume has three diminsions, x-axis, y-axis and z-axis