Final answer:
The volume of a rectangular solid is calculated by the formula Volume = Length × Width × Height. Using the given measurements and simplifying the fractions, the volume is found to be 4/243 cubic units.
Step-by-step explanation:
To calculate the volume of a rectangular solid, you need to multiply the length by the width by the height. The formula is Volume = Length × Width × Height. It's important to use the same units for all dimensions when calculating volume. In this case, we're going to use the measurements provided: length 6/9, width 2/9, and height 1/9. These fractions can be simplified. Since the numerators and denominators are divisible by 3, the simplified measurements are: length 2/3, width 2/9, and height 1/9.
Next, we will multiply these dimensions to find the volume of the rectangular solid:
Volume = (2/3) × (2/9) × (1/9)
To calculate this, first multiply the numerators: 2 × 2 × 1 = 4. Then, multiply the denominators: 3 × 9 × 9 = 243. Therefore, the volume is 4/243 cubic units.