Question

A flat rate shipping box is in the shape of a rectangular prism. You estimate that the volume of the box is 350 cubic inches. You measure the box and find that it has a length of 10 inches, a width of 9 inches, and a height of 4.5 inches. Find the percent error. Round your answer to the nearest tenth of a percent.

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Answer 1

15.7%

Explanation:

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Remark

There are two ways of calculating % error. Chemistry uses one way. Most others use the second method. I have used the second method.

Measurements

L = 10 in

w = 9 in

h = 4.5 in

Estimated result

350 cubic cm

Solution

Find the volume from the measurements of the Prism

V = L * w * h

V = 10 * 9 * 4.5

V = 405 in^3

Percent Error

% error = 100 * (Calculated Value - Estimated value)/(Estimated Value)

% error = 100 * (405 - 350)/350

% error = 100 * ( 55) / 350

% error = 15.71

% error = 15.7 (rounded)