The volume of a rectangular prism is 500cm^(3). Bob measures the sides to be 10.35cm by 10.06cm by 4.92cm. In calculating the volume, what is the relative error, to the nearest thousandth. Answer:

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The volume of a rectangular prism is  500cm^(3). Bob measures the sides to be  10.35cm by  10.06cm by  4.92cm. In calculating the volume, what is the relative error, to the nearest thousandth. Answer:

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Calculate Volume: Calculate the volume using the given measurements. To find the volume of a rectangular prism, multiply the length by the width by the height. Volume = length × width × height Volume = 10.35cm × 10.06cm × 4.92cm Volume = 511.11732cm³Find Absolute Error: Find the absolute error by subtracting the actual volume from the calculated volume. Absolute error = |Calculated volume - Actual volume| Absolute error = |511.11732cm³ - 500cm³| Absolute error = 11.11732cm³Find Relative Error: Find the relative error by dividing the absolute error by the actual volume. Relative error = Absolute error / Actual volume Relative error = 11.11732cm³ / 500cm³ Relative error = 0.02223464Convert to Percentage: Convert the relative error to a percentage and round to the nearest thousandth. Relative error (to the nearest thousandth) = 0.022

The volume of a rectangular prism is $500 \mathrm{~cm}^{3}$ . Bob measures the sides to be $10.35 \mathrm{~cm}$ by $10.06 \mathrm{~cm}$ by $4.92 \mathrm{~cm}$ . In calculating the volume, what is the relative error, to the nearest thousandth. $\newline$ Answer:

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