The volume of a rectangular prism is 441cm^(3). Alex measures the sides to be 6.6cm by 6.93cm by 8.51cm. 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 = 6.6 cm × 6.93 cm × 8.51 cm Volume = 390.67338 cm³Find Absolute Error: Find the absolute error by subtracting the calculated volume from the actual volume. Absolute error = |Actual volume - Calculated volume| Absolute error = |441 cm³ - 390.67338 cm³| Absolute error = 50.32662 cm³Calculate Relative Error: Calculate the relative error by dividing the absolute error by the actual volume and then multiplying by 100 to get the percentage. Relative error = (Absolute error / Actual volume) × 100 Relative error = (50.32662 cm³ / 441 cm³) × 100 Relative error = 11.41%

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The volume of a rectangular prism is
441cm^(3). Alex measures the sides to be
6.6cm by
6.93cm by
8.51cm. In calculating the volume, what is the relative error, to the nearest hundredth.
Answer:

The volume of a rectangular prism is $441 \mathrm{~cm}^{3}$ . Alex measures the sides to be $6.6 \mathrm{~cm}$ by $6.93 \mathrm{~cm}$ by $8.51 \mathrm{~cm}$ . 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

441 \mathrm{~cm}^{3}

. Alex measures the sides to be

6.6 \mathrm{~cm}

6.93 \mathrm{~cm}

8.51 \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 = $6.6\,\text{cm} \times 6.93\,\text{cm} \times 8.51\,\text{cm}$ $\newline$ Volume = $390.67338\,\text{cm}^3$
Find Absolute Error: Find the absolute error by subtracting the calculated volume from the actual volume. $\newline$ Absolute error = $|\text{Actual volume} - \text{Calculated volume}|$ $\newline$ Absolute error = $|441 \text{ cm}^3 - 390.67338 \text{ cm}^3|$ $\newline$ Absolute error = $50.32662 \text{ cm}^3$
Calculate Relative Error: Calculate the relative error by dividing the absolute error by the actual volume and then multiplying by $100$ to get the percentage. $\newline$ Relative error = $(\text{Absolute error} / \text{Actual volume}) \times 100$ $\newline$ Relative error = $(50.32662 \, \text{cm}^3 / 441 \, \text{cm}^3) \times 100$ $\newline$ Relative error = $11$ . $41$ \%