The volume of a rectangular prism is 336cm^(3). Eric measures the sides to be 6.34cm by 8.03cm by 7.46cm. In calculating the volume, what is the relative error, to the nearest thousandth. Answer:

Calculate Volume: Calculate the volume of the rectangular prism using the given measurements. Volume = length × width × height Volume = 6.34 cm × 8.03 cm × 7.46 cm Volume = 379.2402 cm³Find Absolute Error: Compare the calculated volume to the given volume to find the absolute error. Absolute error = |Calculated volume - Given volume| Absolute error = |379.2402 cm³ - 336 cm³| Absolute error = 43.2402 cm³Calculate Relative Error: Calculate the relative error by dividing the absolute error by the given volume and then converting it to a percentage. Relative error = (Absolute error / Given volume) × 100% Relative error = (43.2402 cm³ / 336 cm³) × 100% Relative error = 0.1286905 × 100% Relative error = 12.86905%Round Relative Error: Round the relative error to the nearest thousandth. Relative error (rounded) = 12.869%

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The volume of a rectangular prism is
336cm^(3). Eric measures the sides to be
6.34cm by
8.03cm by
7.46cm. In calculating the volume, what is the relative error, to the nearest thousandth.
Answer:

The volume of a rectangular prism is $336 \mathrm{~cm}^{3}$ . Eric measures the sides to be $6.34 \mathrm{~cm}$ by $8.03 \mathrm{~cm}$ by $7.46 \mathrm{~cm}$ . In calculating the volume, what is the relative error, to the nearest thousandth. $\newline$ Answer:

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Q. The volume of a rectangular prism is

336 \mathrm{~cm}^{3}

. Eric measures the sides to be

6.34 \mathrm{~cm}

8.03 \mathrm{~cm}

7.46 \mathrm{~cm}

. In calculating the volume, what is the relative error, to the nearest thousandth.

\newline

Answer:

Calculate Volume: Calculate the volume of the rectangular prism using the given measurements. $\newline$ Volume = $\text{length} \times \text{width} \times \text{height}$ $\newline$ Volume = $6.34 \, \text{cm} \times 8.03 \, \text{cm} \times 7.46 \, \text{cm}$ $\newline$ Volume = $379.2402 \, \text{cm}^3$
Find Absolute Error: Compare the calculated volume to the given volume to find the absolute error. $\newline$ Absolute error = $\lvert\text{Calculated volume} - \text{Given volume}\rvert$ $\newline$ Absolute error = $\lvert379.2402\,\text{cm}^3 - 336\,\text{cm}^3\rvert$ $\newline$ Absolute error = $43.2402\,\text{cm}^3$
Calculate Relative Error: Calculate the relative error by dividing the absolute error by the given volume and then converting it to a percentage. $\newline$ Relative error = $(\text{Absolute error} / \text{Given volume}) \times 100\%$ $\newline$ Relative error = $(43.2402 \, \text{cm}^3 / 336 \, \text{cm}^3) \times 100\%$ $\newline$ Relative error = $0.1286905 \times 100\%$ $\newline$ Relative error = $12.86905\%$
Round Relative Error: Round the relative error to the nearest thousandth. $\newline$ Relative error (rounded) = $12.869\%$