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# A sculptor has a copper piece in the shape of a rectangular prism. The piece measures 5 m by 0.9 m by 0.02 m and its mass is 894 kg.

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A sculptor has a copper piece in the shape of a rectangular prism. The piece measures 5 m by 0.9 m by 0.02 m and its mass is 894 kg.

What is the density of the copper? (Round to the nearest tenth.)

May 11, 2017

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$$\begin{array} \ \text{density} &=\frac{\text{mass}}{\text{volume}} \\~\\ &=\frac{894\text{ kg}}{5\text{ m}\,\cdot\,0.9\text{ m}\,\cdot\,0.02\text{ m}} \\~\\ &=\frac{894\text{ kg}}{0.09\,\text{m}^3} \\~\\ &=\frac{894}{0.09}\,\frac{\text{kg}}{\text{m}^3} \\~\\ &\approx9933.3 \,\frac{\text{kg}}{\text{m}^3} \end{array}$$

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May 11, 2017
edited by hectictar  May 11, 2017