Answer :

Final answer:

The volume of a cube with a side length of 1.55m is found by cubing the side length in centimeters, yielding a result of 3,721,875 cm³ after converting the measurement from meters to centimeters (1m equals 100cm).

Explanation:

The volume of a cube with one side measuring 1.55m can be calculated by raising the length of the side to the third power, that is, 1.55m × 1.55m × 1.55m.

In mathematical terms, this is represented as V = s³, where 'V' denotes volume and 's' is the length of a side.

Since the conversion from meters to centimeters is 1m = 100cm, we can express the volume in cubic centimeters.

First, convert the side length from meters to centimeters: 1.55m = 155 cm.

Next, calculate the volume by cubing this number: V = 155 cm × 155 cm × 155 cm which equals 3,721,875 cm³.

Therefore, the volume of the cube is 3,721,875 cm³.