Concept explainers
Find how the greatest possible percentage error in the volume is affected.
Answer to Problem 5P
Decreased
Explanation of Solution
Given :
The gift box’s dimensions are measured to the nearest half inch .
When the gift box’s dimensions are measured to the nearest inch , the greatest possible percentage error in the volume is about 24%.
Calculation:
We find the greatest possible percentage error in the volume when gift box’s dimensions are measured to the nearest half inch .
The greatest possible error in each dimension is
Measured volume =
Minimum volume =
Maximum volume =
Find the differences :
|Minimum volume - Measured volume| =
|Maximum volume - Measured volume| =
The greater difference in volume is 41.953125.
So, the greatest possible percentage error =
When the gift box’s dimensions are measured to the nearest inch , the greatest possible percentage error in the volume is about 24%.
So, the greatest possible percentage error when gift box’s dimensions are measured to the nearest half inch is less as compared to the greatest possible percentage error when gift box’s dimensions are measured to the nearest inch.
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