The volume of a rectangular prism is 126ft^(3). Bob measures the sides to be 9.48ft by 7.21ft by 1.93ft. In calculating the volume, what is the relative error, to the nearest thousandth. Answer:

Calculate Volume: Calculate the volume using the measured sides. Volume = Length × Width × Height Volume = 9.48ft × 7.21ft × 1.93ftPerform Multiplication: Perform the multiplication to find the calculated volume. Calculated Volume = 9.48 × 7.21 × 1.93 Calculated Volume = 131.611044ft³Find Absolute Error: Find the absolute error by subtracting the actual volume from the calculated volume. Absolute Error = |Calculated Volume - Actual Volume| Absolute Error = |131.611044 - 126| Absolute Error = 5.611044ft³Calculate Relative Error: Calculate the relative error by dividing the absolute error by the actual volume. Relative Error = Absolute Error / Actual Volume Relative Error = 5.611044 / 126Perform Division: Perform the division to find the relative error. Relative Error ≈ 0.0445327Round Relative Error: Round the relative error to the nearest thousandth. Relative Error ≈ 0.045

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The volume of a rectangular prism is
126ft^(3). Bob measures the sides to be
9.48ft by
7.21ft by
1.93ft. In calculating the volume, what is the relative error, to the nearest thousandth.
Answer:

The volume of a rectangular prism is $126 \mathrm{ft}^{3}$ . Bob measures the sides to be $9.48 \mathrm{ft}$ by $7.21 \mathrm{ft}$ by $1.93 \mathrm{ft}$ . 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

126 \mathrm{ft}^{3}

. Bob measures the sides to be

9.48 \mathrm{ft}

7.21 \mathrm{ft}

1.93 \mathrm{ft}

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

\newline

Answer:

Calculate Volume: Calculate the volume using the measured sides. $\newline$ Volume = $\text{Length} \times \text{Width} \times \text{Height}$ $\newline$ Volume = $9.48\,\text{ft} \times 7.21\,\text{ft} \times 1.93\,\text{ft}$
Perform Multiplication: Perform the multiplication to find the calculated volume. $\newline$ Calculated Volume = $9.48 \times 7.21 \times 1.93$ $\newline$ Calculated Volume = $131.611044\text{ft}^3$
Find Absolute Error: Find the absolute error by subtracting the actual volume from the calculated volume. $\newline$ Absolute Error = $|\text{Calculated Volume} - \text{Actual Volume}|$ $\newline$ Absolute Error = $|131.611044 - 126|$ $\newline$ Absolute Error = $5.611044\text{ft}^3$
Calculate Relative Error: Calculate the relative error by dividing the absolute error by the actual volume. $\newline$ Relative Error = $\frac{\text{Absolute Error}}{\text{Actual Volume}}$ $\newline$ Relative Error = $\frac{5.611044}{126}$
Perform Division: Perform the division to find the relative error. $\newline$ Relative Error $\approx 0.0445327$
Round Relative Error: Round the relative error to the nearest thousandth. $\newline$ Relative Error $\approx 0.045$