Question

The table on the right shows the measured dimensions of a rectangular prism and the minimum and maximum possible dimensions based on the greatest possible error. What is the greatest possible percent error in finding the volume of the​ prism? (Round to the nearest percent as needed.)

Length|Width|Height
Measured: 10 7 5
Minimum: 9.5 6.5 4.5
Maximum: 10.5 7.5 5.5


I said the greatest possible percent error in finding the volume of the prism is 3%.

Answer 1

Volume of rectangular prism = W*L*H

Where, W=width
L=Length
H=Height

Answer 2

maximum Possible percent error =\[\left( \frac{\Delta L}{L} +\frac{ \Delta W}{W}+\frac{\Delta H}{H} \right)\times 100\]

Answer 3

maximum value of \(\Delta L\)=10.5-10=0.5
maximum value of \(\Delta W\)=7.5-7=0.5
maximum value of \(\Delta H\)=5.5-5=0.5

Answer 4

maximum possible percent error=\[\left( \frac{0.5}{10}+\frac{0.5}{7}+\frac{0.5}{5} \right)\times 100\]

Answer 5

\(\approx 22.14%\)

Answer 6

@jiteshmeghwal9 I get 0.2375, meaning 23.75.
what I did was the maximum volume-measure volume divided by the measure volume. Giving 0.2375

Answer 7

\[\left( \frac{\Delta L}{L} +\frac{ \Delta W}{W}+\frac{\Delta H}{H} \right)\times 100\]u must apply this formula to get the percentage error