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 helght of 4.5 inches. Find the percent error. Round your answer to the nearest tenth of a percent.
The percent error is about %.

Answer 1

13.6%

Explanation:

Step 1

Find the actual volume of the box

Volume = Length × Width × Height

You measure the box and find that it has a length of 10 inches, a width of 9 inches, and a helght of 4.5 inches.

Volume = 10 inches × 9 inches × 4.5 inches

Volume of the box = 405 cubic inches

Step 2

Calculate the percent error

|Estimated value - Actual value|/Actual value ×100

Estimated value= 350 cubic inches

Actual value = 405 cubic inches

= |350 - 405|/405 × 100

= |-55|/405 × 100

= 55/405 × 100

= 13.580246914%

Approximately = 13.6%

The Percent error is 13.6%