1. **State the problem:** We are given a rectangular box with dimensions Length = $3x + 4$, Width = $3x$, and Height = $3x - 1$. The volume is given by $3x(3x + 4)(3x - 1)$. We need to determine which statement about the volume is true. 2. **Recall the formula for volume of a rectangular box:** $$\text{Volume} = \text{Length} \times \text{Width} \times \text{Height}$$ This means the volume is the product of the three dimensions. 3. **Analyze each statement:** - **A:** "The volume is the product of the length, $3x + 4$, and the width, $3x$." This ignores the height, so it is incomplete. - **B:** "The volume does not depend on the width, $3x$." This is false because width is a dimension of the box and affects volume. - **C:** "The volume is the product of the area of the base, $3x(3x + 4)$, and the height, $3x - 1$." The base area is length times width, so this is correct. - **D:** "The volume is the sum of the length, width, and height." Volume is a product, not a sum, so this is false. 4. **Conclusion:** Statement C is true because volume equals base area times height. **Final answer:** C. The volume is the product of the area of the base, $3x(3x + 4)$, and the height, $3x - 1$.