Subjects geometry

Box Volume 28A6D5

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1. **State the problem:** We need to find the volume of the box shown in the graph. 2. **Identify the dimensions:** The box is composed of unit cubes arranged in a rectangular prism shape with dimensions 6 cubes long, 4 cubes high, and 3 cubes deep. 3. **Formula for volume of a rectangular prism:** $$\text{Volume} = \text{length} \times \text{width} \times \text{height}$$ 4. **Calculate the volume:** $$\text{Volume} = 6 \times 3 \times 4$$ 5. **Perform multiplication:** $$\text{Volume} = 72$$ 6. **Interpret units:** Since each cube is 1 ft on each side, the volume is in cubic feet. **Final answer:** $$\boxed{72\text{ ft}^3}$$
6 ft4 ft3 ft1/4 ft