Final answer:
The difference in volume between the two cube-shaped storage units is 26 cm³, calculated by subtracting the volume of the smaller cube (1 cm³) from the larger cube (27 cm³).
Step-by-step explanation:
The difference in volume of the storage units can be found by calculating the volume of each cube-shaped storage unit and then subtracting the smaller volume from the larger volume. For the small cube with a side length of 1 cm, the volume is V = s³ = 1 cm³. For the large cube with a side length of 3 cm, the volume iThe difference in volume of the two storage units can be found by subtracting the volume of the smaller unit from the volume of the larger unit. Since both units are cube-shaped, the volume of a cube can be found by raising the length of one side to the power of 3. Let's say the side length of the smaller unit is 3 cm, then its volume would be 3³ = 27 cm³. If the side length of the larger unit is also 3 cm, then its volume would also be 3³ = 27 cm³. Therefore, the difference in volume between the two storage units is 0 cm³.
s V = s³ = 27 cm³. The difference in their volumes is 27 cm³ - 1 cm³ = 26 cm³.
The SI unit of volume is the cubic meter (m³), which is used to measure larger volumes, such as in construction or for larger storage units. One m³ is the volume of a cube with an edge length of exactly one meter.