Chapter 2.10, Problem 15P

Find the percent error in each estimation. Round to the nearest percent.

You estimate the volume of the storage room is $800{\text{ft}}^3$.

The room’s volume is actually $810{\text{ft}}^3$.

To determine

Tofind:the percent error in estimation to the nearest percent.

Answer to Problem 15P

1%

Explanation of Solution

Given information: It is estimated that the volume of the storage room is 800ft³. The room’s volume is actually 810 ft³.

Calculation:

Actual volume of the room= 810 ft³

Estimated volume of the room=800 ft³

The percent error is

  $\begin{array}{l}\%error=\frac{\left|estimatedvalue-actualvalue\right|}{actualvalue}\times 100\\ \%error=\frac{\left|800-810\right|}{810}\times 100\\ \%error=\frac{10}{810}\times 100\approx 1\%\end{array}$

Thus, percent error is 1%.