The volume of a rectangular prism is 140ft^(3). Eric measures the sides to be 7.12ft by 3.83ft by 5.49ft. 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 = 7.12ft × 3.83ft × 5.49ftPerform Multiplication: Perform the multiplication to find the calculated volume. Calculated Volume = 7.12 × 3.83 × 5.49 Calculated Volume ≈ 141.688 ft³Compare Volumes: Compare the calculated volume with the given volume to find the absolute error. Absolute Error = |Calculated Volume - Given Volume| Absolute Error = |141.688 ft³ - 140 ft³| Absolute Error ≈ 1.688 ft³Calculate Relative Error: Calculate the relative error by dividing the absolute error by the given volume. Relative Error = Absolute Error / Given Volume Relative Error ≈ 1.688 ft³ / 140 ft³Perform Division: Perform the division to find the relative error. Relative Error ≈ 0.0120571429Round Relative Error: Round the relative error to the nearest thousandth. Relative Error ≈ 0.012

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The volume of a rectangular prism is
140ft^(3). Eric measures the sides to be
7.12ft by
3.83ft by
5.49ft. In calculating the volume, what is the relative error, to the nearest thousandth.
Answer:

The volume of a rectangular prism is $140 \mathrm{ft}^{3}$ . Eric measures the sides to be $7.12 \mathrm{ft}$ by $3.83 \mathrm{ft}$ by $5.49 \mathrm{ft}$ . 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

140 \mathrm{ft}^{3}

. Eric measures the sides to be

7.12 \mathrm{ft}

3.83 \mathrm{ft}

5.49 \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 given measurements. $\newline$ Volume = Length $\times$ Width $\times$ Height $\newline$ Volume = $7.12$ ft $\times$ $3.83$ ft $\times$ $5.49$ ft
Perform Multiplication: Perform the multiplication to find the calculated volume. $\newline$ Calculated Volume = $7.12 \times 3.83 \times 5.49$ $\newline$ Calculated Volume $\approx 141.688 \, \text{ft}^3$
Compare Volumes: Compare the calculated volume with the given volume to find the absolute error. $\newline$ Absolute Error = $|\text{Calculated Volume} - \text{Given Volume}|$ $\newline$ Absolute Error = $|141.688 \text{ ft}^3 - 140 \text{ ft}^3|$ $\newline$ Absolute Error \approx $1$ . $688$ \text{ ft}^ $3$
Calculate Relative Error: Calculate the relative error by dividing the absolute error by the given volume. $\newline$ Relative Error = $\frac{\text{Absolute Error}}{\text{Given Volume}}$ $\newline$ Relative Error $\approx \frac{1.688 \, \text{ft}^3}{140 \, \text{ft}^3}$
Perform Division: Perform the division to find the relative error. Relative Error $\approx 0.0120571429$
Round Relative Error: Round the relative error to the nearest thousandth. $\newline$ Relative Error $\approx 0.012$