Question

The volume of a rectangular prism is 224 in3. Eric measures the sides to be 7.17 in by 7.79 in by 4.2 in. In calculating the volume, what is the relative error, to the nearest hundredth.

Answer 1

The calculated volume is

`(7.17 * 7.79 * 4.2 \approx 226.19 \, \text{in}^3).`

Relative error =

`(\left|(226.19 - 224)/(224)\right| * 100% \approx 1.09%).`

Therefore, the relative error to the nearest hundredth is approximately 1.09% ..

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