The volume of a rectangular prism is 720ft^(3). Alex measures the sides to be 9.66ft by 9.11ft by 7.59ft. 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 = 9.66ft × 9.11ft × 7.59ftPerform Multiplication: Perform the multiplication to find the calculated volume. Calculated Volume = 9.66 × 9.11 × 7.59 Calculated Volume ≈ 667.40334 ft³Find Absolute Error: Find the absolute error by subtracting the given volume from the calculated volume. Absolute Error = |Given Volume - Calculated Volume| Absolute Error = |720 ft³ - 667.40334 ft³| Absolute Error ≈ 52.59666 ft³Calculate Relative Error: Calculate the relative error by dividing the absolute error by the given volume. Relative Error = Absolute Error / Given Volume Relative Error ≈ 52.59666 ft³ / 720 ft³Perform Division: Perform the division to find the relative error. Relative Error ≈ 0.07305Round Relative Error: Round the relative error to the nearest thousandth. Relative Error ≈ 0.073

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The volume of a rectangular prism is
720ft^(3). Alex measures the sides to be
9.66ft by
9.11ft by
7.59ft. In calculating the volume, what is the relative error, to the nearest thousandth.
Answer:

The volume of a rectangular prism is $720 \mathrm{ft}^{3}$ . Alex measures the sides to be $9.66 \mathrm{ft}$ by $9.11 \mathrm{ft}$ by $7.59 \mathrm{ft}$ . 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

720 \mathrm{ft}^{3}

. Alex measures the sides to be

9.66 \mathrm{ft}

9.11 \mathrm{ft}

7.59 \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 = $9.66\,\text{ft} \times 9.11\,\text{ft} \times 7.59\,\text{ft}$
Perform Multiplication: Perform the multiplication to find the calculated volume. $\newline$ Calculated Volume = $9.66 \times 9.11 \times 7.59$ $\newline$ Calculated Volume $\approx 667.40334 \text{ ft}^3$
Find Absolute Error: Find the absolute error by subtracting the given volume from the calculated volume. $\newline$ Absolute Error = $|\text{Given Volume} - \text{Calculated Volume}|$ $\newline$ Absolute Error = $|720 \text{ ft}^3 - 667.40334 \text{ ft}^3|$ $\newline$ Absolute Error \approx $52$ . $59666$ \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 $\approx \frac{52.59666 \, \text{ft}^3}{720 \, \text{ft}^3}$
Perform Division: Perform the division to find the relative error. Relative Error $\approx 0.07305$
Round Relative Error: Round the relative error to the nearest thousandth. $\newline$ Relative Error $\approx 0.073$