The volume of a rectangular prism is 84ft^(3). David measures the sides to be 3.91ft by 2.84ft by 7.35ft. 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 measured sides. Volume = length × width × height Volume = 3.91ft × 2.84ft × 7.35ft Volume = 81.84714ft³Calculate Absolute Error: Calculate the absolute error by subtracting the calculated volume from the given volume. Absolute error = |Given volume - Calculated volume| Absolute error = |84ft³ - 81.84714ft³| Absolute error = 2.15286ft³Calculate 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 = (2.15286ft³ / 84ft³) × 100% Relative error = 0.0256307 × 100% Relative error = 2.56307%Round Relative Error: Round the relative error to the nearest thousandth. Relative error (rounded) = 2.563%

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The volume of a rectangular prism is
84ft^(3). David measures the sides to be
3.91ft by
2.84ft by
7.35ft. In calculating the volume, what is the relative error, to the nearest thousandth.
Answer:

The volume of a rectangular prism is $84 \mathrm{ft}^{3}$ . David measures the sides to be $3.91 \mathrm{ft}$ by $2.84 \mathrm{ft}$ by $7.35 \mathrm{ft}$ . 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

84 \mathrm{ft}^{3}

. David measures the sides to be

3.91 \mathrm{ft}

2.84 \mathrm{ft}

7.35 \mathrm{ft}

. 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 measured sides. $\newline$ Volume = $\text{length} \times \text{width} \times \text{height}$ $\newline$ Volume = $3.91\,\text{ft} \times 2.84\,\text{ft} \times 7.35\,\text{ft}$ $\newline$ Volume = $81.84714\,\text{ft}^3$
Calculate Absolute Error: Calculate the absolute error by subtracting the calculated volume from the given volume. $\newline$ Absolute error = $|\text{Given volume} - \text{Calculated volume}|$ $\newline$ Absolute error = $|84\text{ft}³ - 81.84714\text{ft}³|$ $\newline$ Absolute error = $2.15286\text{ft}³$
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 = $(2.15286\,\text{ft}^3 / 84\,\text{ft}^3) \times 100\%$ $\newline$ Relative error = $0.0256307 \times 100\%$ $\newline$ Relative error = $2.56307\%$
Round Relative Error: Round the relative error to the nearest thousandth. $\newline$ Relative error (rounded) = $2.563\%$