1. **State the problem:**
Jenny claims the volume of the rectangular prism with dimensions 25 cm (length), 5 cm (height), and 2 cm (width) is 250 cubic centimeters because she calculated $25 \times 5 = 125$ and then added $125 + 125 = 250$.
2. **Formula for volume of a rectangular prism:**
The volume $V$ is given by the product of its length $l$, width $w$, and height $h$:
$$V = l \times w \times h$$
3. **Check Jenny's calculation:**
Jenny multiplied length and height first:
$$25 \times 5 = 125$$
Then she added $125 + 125 = 250$, which is incorrect because volume requires multiplication of all three dimensions, not addition.
4. **Calculate the correct volume:**
$$V = 25 \times 5 \times 2$$
Calculate step-by-step:
$$25 \times 5 = 125$$
Then multiply by width:
$$125 \times 2 = 250$$
5. **Interpretation:**
Jenny's final answer of 250 cubic centimeters is correct, but her method is wrong because she added instead of multiplying the last dimension. The correct approach is to multiply all three dimensions.
6. **How to check:**
Always use the volume formula and multiply all three dimensions. Addition is not used in volume calculation.
**Final answer:**
The volume is $250$ cubic centimeters, but Jenny's reasoning is incorrect because volume requires multiplication of all dimensions, not addition.
Prism Volume D67E6C
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