The volume of a rectangular prism is 48cm^(3). David measures the sides to be 6.1cm by 3.89cm by 2.21cm. In calculating the volume, what is the relative error, to the nearest hundredth. Answer:

Calculate Volume: Calculate the volume of the rectangular prism using the given measurements. Volume = Length × Width × Height Volume = 6.1 cm × 3.89 cm × 2.21 cm Volume = 52.5609 cm³Find Absolute Error: Compare the calculated volume with the given volume to find the absolute error. Absolute error = |Calculated Volume - Given Volume| Absolute error = |52.5609 cm³ - 48 cm³| Absolute error = 4.5609 cm³Calculate 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 = (4.5609 cm³ / 48 cm³) × 100% Relative error = 0.09501875 × 100% Relative error = 9.501875%Round Relative Error: Round the relative error to the nearest hundredth. Relative error (rounded) = 9.50%

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The volume of a rectangular prism is
48cm^(3). David measures the sides to be
6.1cm by
3.89cm by
2.21cm. In calculating the volume, what is the relative error, to the nearest hundredth.
Answer:

The volume of a rectangular prism is $48 \mathrm{~cm}^{3}$ . David measures the sides to be $6.1 \mathrm{~cm}$ by $3.89 \mathrm{~cm}$ by $2.21 \mathrm{~cm}$ . In calculating the volume, what is the relative error, to the nearest hundredth. $\newline$ Answer:

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Q. The volume of a rectangular prism is

48 \mathrm{~cm}^{3}

. David measures the sides to be

6.1 \mathrm{~cm}

3.89 \mathrm{~cm}

2.21 \mathrm{~cm}

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

\newline

Answer:

Calculate Volume: Calculate the volume of the rectangular prism using the given measurements. $\newline$ Volume = $\text{Length} \times \text{Width} \times \text{Height}$ $\newline$ Volume = $6.1\,\text{cm} \times 3.89\,\text{cm} \times 2.21\,\text{cm}$ $\newline$ Volume = $52.5609\,\text{cm}^3$
Find Absolute Error: 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 = $|52.5609 \text{ cm}^3 - 48 \text{ cm}^3|$ $\newline$ Absolute error = $4.5609 \text{ cm}^3$
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 = $(4.5609 \, \text{cm}^3 / 48 \, \text{cm}^3) \times 100\%$ $\newline$ Relative error = $0.09501875 \times 100\%$ $\newline$ Relative error = $9.501875\%$
Round Relative Error: Round the relative error to the nearest hundredth. $\newline$ Relative error (rounded) = $9.50\%$