Question

A student has a container with a volume of 0.5 liter. He estimates the volume to be 0.3 liter. By what percent is the student's estimate off?

Answer 1

Given:

The actual volume of the container is a = 0.5 liter.

The estimated volume of the container is e = 0.3 liter.

The objective is to find the percentage of student's estimate off.

Step-by-step explanation:

The general formula to find the percentage of estimate off is,

`\text{ \%e =}(a-e)/(a)*100\text{ . . . . (1)}`

On plugging the given values in equation (1),

`\begin{gathered} \text{\%}e=(0.5-0.3)/(0.5)*100 \\ =(0.2)/(0.5)*100 \\ =(200)/(5)\text{ \%} \\ =40\text{ \%} \end{gathered}`

Hence, the percentage of student's estimate off is 40%.