Chapter F, Problem A.1AST

Interpretation Introduction

Interpretation:

Height of a person has to be expressed in centimeters who is $\text{6}\text{.00}\text{ft}$ tall.

Concept Introduction:

Measurement is the measure of quantity, capacity, dimensions or extent of something.  Mass, length, pressure, temperature, volume, time and concentration are some common type of measurements. English system and metric system are two types of measurement systems that are in use in the United States.  Measurement wise both English system and metric system are precise.  There are instance where measurements from one system has to be changed to their equivalent in other system.  This is done by dimensional analysis, which involves conversion factors.  Conversion factor is a ratio that indicates how one unit of measurement is related to another unit of measurement.  This can be expressed as shown below;

    $\text{Conversion}\text{factor}=\frac{\text{Units}\text{required}}{\text{units}\text{given}}$

Answer to Problem A.1AST

Height of a person is $\text{183}\text{cm}$.

Explanation of Solution

The relation between centimeters and feet is shown as given below;

    $1\text{ft}=30.48\text{cm}$

Given length is $\text{6}\text{.00}\text{ft}$.  Therefore, the conversion factor that has to be used to express the given height in centimeter is;

    $\text{Conversion}\text{factor}=\frac{\text{30}\text{.48}\text{cm}}{\text{1}\text{ft}}$

The given height is expressed in centimeter as shown below;

    $\begin{array}{c}\text{Height}\text{in}\text{centimeter}=\text{6}\text{.00}\text{ft}\times \frac{\text{30}\text{.48}\text{cm}}{\text{1}\text{ft}}\\ =182.88\text{cm}\\ \text{=183}\text{cm}\end{array}$

Therefore, the given height of $\text{6}\text{.00}\text{ft}$ is expressed in centimeters as $\text{183}\text{cm}$.