1. **State the problem:** We are given the volume of a cylinder and asked to find the volume of a rectangular prism with given dimensions. 2. **Recall the formulas:** - Volume of a cylinder: $$V = \pi r^2 h$$ - Volume of a rectangular prism: $$V = l \times w \times h$$ 3. **Given data:** - Cylinder volume: 9.42 cm³ - Cylinder radius: 2 cm (top measurement is diameter, so radius $r = \frac{2}{2} = 1$ cm) - Cylinder height: 3 cm - Rectangular prism dimensions: length $l = 7$ cm, width $w = 5$ cm, height $h = 2$ cm 4. **Check cylinder volume with given radius and height:** $$V = \pi r^2 h = \pi \times 1^2 \times 3 = 3\pi \approx 9.42 \text{ cm}^3$$ This matches the given volume, confirming the radius is 1 cm. 5. **Calculate the volume of the rectangular prism:** $$V = l \times w \times h = 7 \times 5 \times 2 = 70 \text{ cm}^3$$ **Final answer:** The volume of the rectangular prism is **70 cm³**.