To determine the mass of 20.0 cubic feet of aluminum with a density of 2.70 g/cm³, we need to follow a few steps:
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Convert cubic feet to cubic centimeters: 1 cubic foot is equal to 28,316.8 cubic centimeters.
Therefore, to convert 20.0 cubic feet to cubic centimeters: \[ 20.0 , \text{ft}^3 \times 28,316.8 , \text{cm}^3/\text{ft}^3 = 566,080 , \text{cm}^3 \]
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Calculate the mass in grams: We use the formula: \[ \text{mass} = \text{volume} \times \text{density} \] Using the volume we just calculated and the density of aluminum: \[ \text{mass} = 566,080 , \text{cm}^3 \times 2.70 , \text{g/cm}^3 = 1,527,816 , \text{g} \]
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Convert grams to kilograms: To convert grams to kilograms, we divide by 1,000: \[ 1,527,816 , \text{g} \div 1,000 = 1,527.816 , \text{kg} \]
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Express in kilometers: The question seems to imply converting mass to kilometers, but mass cannot be expressed in kilometers, as that is a unit of distance. However, if we were looking for kilometers in terms of length or physical dimensions associated with mass (like weight), typically in scientific contexts we do not convert mass to distance directly.
Therefore, the mass of 20.0 cubic feet of aluminum, using proper units, is 1,527.816 kg. If you are looking for something specific beyond mass, please clarify!