Subjects geometry

Volume Rectangular Prism F03274

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1. **Find the volume of each rectangular prism.** The volume $V$ of a rectangular prism is given by the formula: $$V = \ell \times w \times h$$ where $\ell$ is length, $w$ is width, and $h$ is height. --- **a)** Dimensions: $6$ cm (height), $5$ cm (length), $2$ cm (width) $$V = 5 \times 2 \times 6$$ $$= 10 \times 6$$ $$= 60 \text{ cm}^3$$ --- **b)** Dimensions: $2$ cm (height), $7$ cm (length), $3$ cm (width) $$V = 7 \times 3 \times 2$$ $$= 21 \times 2$$ $$= 42 \text{ cm}^3$$ --- **c)** Dimensions: $3$ cm (height), $15$ cm (length), $4$ cm (width) $$V = 15 \times 4 \times 3$$ $$= 60 \times 3$$ $$= 180 \text{ cm}^3$$ **Final answers:** - a) $60$ cm³ - b) $42$ cm³ - c) $180$ cm³