Chapter 1, Problem 1.102QP

(a)

Interpretation Introduction

Interpretation:

Given $\text{3}\text{.0}\text{m}$ has to be converted to yards ($\text{ yd}$).

Explanation of Solution

Given, $\text{3}\text{.0}\text{m}$

  $\begin{array}{l}\text{1}\text{yd}\text{=}\text{0}\text{.914}\text{m}\\ \text{=}\text{3}\text{.0}\text{m}\text{×}\frac{\text{1}\text{yd}}{\text{0}\text{.914}\text{m}}\\ \text{=}\text{3}\text{.28}\text{yd}\end{array}$

(b)

Interpretation Introduction

Interpretation:

Given $\text{3}\text{.0}\text{m}$ has to be converted to inches ($\text{in}$).

Explanation of Solution

Given, $\text{3}\text{.0}\text{m}$.  It is converted into yards.

  $\begin{array}{l}\text{1}\text{yd}\text{=}\text{0}\text{.914}\text{m}\\ \text{=}\text{3}\text{.0}\text{m}\text{×}\frac{\text{1}\text{yd}}{\text{0}\text{.914}\text{m}}\\ \text{=}\text{3}\text{.28}\text{yd}\end{array}$

The calculated yards are converted into foot.

  $\begin{array}{l}\text{1}\text{yd}\text{=}\text{3}\text{ft}\\ \text{=}\text{3}\text{.28}\text{yd}\text{×}\frac{\text{3}\text{ft}}{\text{1}\text{yd}}\\ \text{=}\text{9}\text{.84}\text{ft}\end{array}$

The calculated foot is then converted into inches.

  $\begin{array}{l}\text{1}\text{ft}\text{=}\text{12}\text{in}\\ \text{=}\text{9}\text{.84}\text{ft}\text{×}\frac{\text{12}\text{in}}{\text{1}\text{ft}}\\ \text{=}\text{118}\text{.08}\text{in}\end{array}$

(c)

Interpretation Introduction

Interpretation:

Given $\text{3}\text{.0}\text{m}$ has to be converted to foot ($\text{ft}$).

Explanation of Solution

Given, $\text{3}\text{.0}\text{m}$.  It is converted into yards.

  $\begin{array}{l}\text{1}\text{yd}\text{=}\text{0}\text{.914}\text{m}\\ \text{=}\text{3}\text{.0}\text{m}\text{×}\frac{\text{1}\text{yd}}{\text{0}\text{.914}\text{m}}\\ \text{=}\text{3}\text{.28}\text{yd}\end{array}$

The calculated yards are converted into foot.

  $\begin{array}{l}\text{1}\text{yd}\text{=}\text{3}\text{ft}\\ \text{=}\text{3}\text{.28}\text{yd}\text{×}\frac{\text{3}\text{ft}}{\text{1}\text{yd}}\\ \text{=}\text{9}\text{.84}\text{ft}\end{array}$

(d)

Interpretation Introduction

Interpretation:

Given $\text{3}\text{.0}\text{m}$ has to be converted to centimeters ($\text{cm}$).

Explanation of Solution

Given, $\text{3}\text{.0}\text{m}$

  $\begin{array}{l}\text{1}\text{cm}\text{=}{\text{10}}^{\text{-2}}\text{m}\\ \text{=}\text{3}\text{.0}\text{m}\text{×}\frac{\text{1}\text{cm}}{{\text{10}}^{\text{-2}}\text{m}}\\ \text{=}\text{300}\text{cm}\end{array}$

(e)

Interpretation Introduction

Interpretation:

Given $\text{3}\text{.0}\text{m}$ has to be converted to millimeters ($\text{mm}$).

Explanation of Solution

Given, $\text{3}\text{.0}\text{m}$

  $\begin{array}{l}\text{1}\text{mm}\text{=}{\text{10}}^{\text{-3}}\text{m}\\ \text{=}\text{3}\text{.0}\text{m}\text{×}\frac{\text{1}\text{mm}}{{\text{10}}^{\text{-3}}\text{m}}\\ \text{=}\text{3000}\text{mm}\end{array}$