The volume of a rectangular prism is 63ft^(3). Eric measures the sides to be 6.59ft by 3.44ft by 3.15ft. In calculating the volume, what is the relative error, to the nearest thousandth. Answer:

Calculate Estimated Volume: Calculate the estimated volume using the measurements provided by Eric. The formula for the volume of a rectangular prism is length × width × height. Estimated volume = 6.59ft × 3.44ft × 3.15ftPerform Multiplication: Perform the multiplication to find the estimated volume. Estimated volume = 6.59 × 3.44 × 3.15 Estimated volume ≈ 71.54844 ft³ (rounded to five decimal places for intermediate calculation)Calculate Absolute Error: Calculate the absolute error by subtracting the actual volume from the estimated volume. Absolute error = |Estimated volume - Actual volume| Absolute error = |71.54844 - 63| Absolute error ≈ 8.54844 ft³ (rounded to five decimal places for intermediate calculation)Calculate Relative Error: Calculate the relative error by dividing the absolute error by the actual volume and then converting it to a percentage. Relative error = (Absolute error / Actual volume) × 100% Relative error ≈ (8.54844 / 63) × 100%Round Relative Error: Perform the division and multiplication to find the relative error as a percentage. Relative error ≈ (0.1356857143) × 100% Relative error ≈ 13.56857143%Round the relative error to the nearest thousandth. Relative error ≈ 13.569% (rounded to three decimal places)

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The volume of a rectangular prism is
63ft^(3). Eric measures the sides to be
6.59ft by
3.44ft by
3.15ft. In calculating the volume, what is the relative error, to the nearest thousandth.
Answer:

The volume of a rectangular prism is $63 \mathrm{ft}^{3}$ . Eric measures the sides to be $6.59 \mathrm{ft}$ by $3.44 \mathrm{ft}$ by $3.15 \mathrm{ft}$ . 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

63 \mathrm{ft}^{3}

. Eric measures the sides to be

6.59 \mathrm{ft}

3.44 \mathrm{ft}

3.15 \mathrm{ft}

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

\newline

Answer:

Calculate Estimated Volume: Calculate the estimated volume using the measurements provided by Eric. $\newline$ The formula for the volume of a rectangular prism is $length \times width \times height$ . $\newline$ Estimated volume = $6.59\,\text{ft} \times 3.44\,\text{ft} \times 3.15\,\text{ft}$
Perform Multiplication: Perform the multiplication to find the estimated volume. $\newline$ Estimated volume = $6.59 \times 3.44 \times 3.15$ $\newline$ Estimated volume $\approx 71.54844 \text{ ft}^3$ (rounded to five decimal places for intermediate calculation)
Calculate Absolute Error: Calculate the absolute error by subtracting the actual volume from the estimated volume. $\newline$ Absolute error = $|\text{Estimated volume} - \text{Actual volume}|$ $\newline$ Absolute error = $|71.54844 - 63|$ $\newline$ Absolute error \approx $8$ . $54844$ \text{ ft}³ (rounded to five decimal places for intermediate calculation)
Calculate Relative Error: Calculate the relative error by dividing the absolute error by the actual volume and then converting it to a percentage. $\newline$ Relative error = $(\text{Absolute error} / \text{Actual volume}) \times 100\%$ $\newline$ Relative error $\approx (8.54844 / 63) \times 100\%$
Round Relative Error: Perform the division and multiplication to find the relative error as a percentage. $\newline$ Relative error $\approx (0.1356857143) \times 100\%$ $\newline$ Relative error $\approx 13.56857143\%$
Round Relative Error: Perform the division and multiplication to find the relative error as a percentage. $\newline$ Relative error $\approx (0.1356857143) \times 100\%$ $\newline$ Relative error $\approx 13.56857143\%$ Round the relative error to the nearest thousandth. $\newline$ Relative error $\approx 13.569\%$ (rounded to three decimal places)