The volume of a rectangular prism is 18cm^(3). David measures the sides to be 2.88cm by 1.53cm by 3.49cm. 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 dimensions. Volume = Length × Width × Height Volume = 2.88 cm × 1.53 cm × 3.49 cm Volume = 15.370464 cm³Find Absolute Error: Compare the calculated volume with the given volume to find the absolute error. Absolute error = |Calculated Volume - Given Volume| Absolute error = |15.370464 cm³ - 18 cm³| Absolute error = 2.629536 cm³Calculate Relative Error: Calculate the relative error by dividing the absolute error by the given volume. Relative error = Absolute error / Given Volume Relative error = 2.629536 cm³ / 18 cm³ Relative error ≈ 0.146085Round Relative Error: Round the relative error to the nearest thousandth. Relative error ≈ 0.146

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The volume of a rectangular prism is
18cm^(3). David measures the sides to be
2.88cm by
1.53cm by
3.49cm. In calculating the volume, what is the relative error, to the nearest thousandth.
Answer:

The volume of a rectangular prism is $18 \mathrm{~cm}^{3}$ . David measures the sides to be $2.88 \mathrm{~cm}$ by $1.53 \mathrm{~cm}$ by $3.49 \mathrm{~cm}$ . 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

18 \mathrm{~cm}^{3}

. David measures the sides to be

2.88 \mathrm{~cm}

1.53 \mathrm{~cm}

3.49 \mathrm{~cm}

. 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 dimensions. $\newline$ Volume = Length $\times$ Width $\times$ Height $\newline$ Volume = $2.88\, \text{cm}$ $\times$ $1.53\, \text{cm}$ $\times$ $3.49\, \text{cm}$ $\newline$ Volume = $15.370464\, \text{cm}^3$
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 = $|15.370464 \text{ cm}^3 - 18 \text{ cm}^3|$ $\newline$ Absolute error = $2.629536 \text{ cm}^3$
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 = $\frac{2.629536\,\text{cm}^3}{18\,\text{cm}^3}$ $\newline$ Relative error $\approx 0.146085$
Round Relative Error: Round the relative error to the nearest thousandth. Relative error $\approx 0.146$