Chapter 27, Problem 28A

To determine

(a)

To express $45.000centimeters$ as feet.

Answer to Problem 28A

  $45.000centimeters$ can be expressed as $1.476feet$.

Explanation of Solution

Given Information:

Given, a unit in one system, $45.000centimeters$.

Calculation:

To express a unit in one system as an equivalent unit in the other system, either use unity fractions or multiply the given measurements by the appropriate conversion factor in the metric-Customary Linear Equivalent Table

As we know that,

  $\begin{array}{l}1\text{ meter}\text{(m)=100 centimeter }\left(cm\right)\text{ and}\\ 1\text{ meter (m)}=3.2808feet\text{ (ft)}\end{array}$

To express $45.000centimeters$ as feet, first convert it into meter and then convert it into feet.

  $\Rightarrow 45.000\text{ cm}\times \frac{\text{1 m}}{\text{100 cm}}\times \frac{3.2808ft}{1\text{ m}}=1.476ft\text{ (rounded to 3 decimal places)}$

Hence, $45.000centimeters$ can be expressed as $1.476feet$.

To determine

(b)

To express $780.000\text{millimeters}$ as feet.

Answer to Problem 28A

  $780.000\text{millimeters}$ can be expressed as $2.559feet$.

Explanation of Solution

Given Information:

Given, a unit in one system, $780.000\text{millimeters}$.

Calculation:

To express a unit in one system as an equivalent unit in the other system, either use unity fractions or multiply the given measurements by the appropriate conversion factor in the metric-Customary Linear Equivalent Table

As we know that,

  $\begin{array}{l}1\text{ meter}\text{(m)=1000 millimeter }\left(mm\right)\text{ and}\\ 1\text{ meter (m)}=3.2808feet\text{ (ft)}\end{array}$

To express $780.000\text{millimeters}$ as feet, first convert it into meter and then convert it into feet.

  $\Rightarrow 780.000\text{ mm}\times \frac{\text{1 m}}{\text{1000 mm}}\times \frac{3.2808ft}{1\text{ m}}=2.559ft\text{ (rounded to 3 decimal places)}$

Hence, $780.000\text{millimeters}$ can be expressed as $2.559feet$.

To determine

(c)

To express $203.6millimeters$ as inches.

Answer to Problem 28A

  $203.6millimeters$ can be expressed as $8.016inches$.

Explanation of Solution

Given Information:

Given, a unit in one system, $203.6millimeters$.

Calculation:

To express a unit in one system as an equivalent unit in the other system, either use unity fractions or multiply the given measurements by the appropriate conversion factor in the metric-Customary Linear Equivalent Table

As we know that,

  $\begin{array}{l}1\text{ inch}\text{(in}\text{.)=25}\text{.4 millimeter }\left(mm\right)\text{ and}\\ 1\text{ inch (in}\text{.)}=2.54\text{centimeter (cm)}\end{array}$

To express $203.6millimeters$ as inches multiply by unit fraction.

  $\text{203}\text{.6 mm}\times \frac{\text{1 in}}{\text{25}\text{.4 mm}}=8.016\text{ in}\text{. (rounded to 3 decimal places)}$

Hence, $203.6millimeters$ can be expressed as $8.016inches$.

To determine

(d)

To express $135.06centimeters$ as yards.

Answer to Problem 28A

  $135.06centimeters$ can be expressed as $1.477yard$.

Explanation of Solution

Given Information:

Given, a unit in one system, $135.06centimeters$.

Calculation:

To express a unit in one system as an equivalent unit in the other system, either use unity fractions or multiply the given measurements by the appropriate conversion factor in the metric-Customary Linear Equivalent Table

As we know that,

  $\begin{array}{l}\text{1 meter(m) = 100 centimeter (cm)}\\ 1\text{ yard}\text{(yd) = 0}\text{.9144 meter }\left(m\right)\end{array}$

To express $135.06centimeters$ as yard, first convert it into meter and then convert it into yard.

  $\Rightarrow 135.06\text{ cm}\times \frac{\text{1 m}}{\text{100 cm}}\times \frac{1yd}{\text{0}\text{.9144 m}}=1.477yd\text{ (rounded to 3 decimal places)}$

Hence, $135.06centimeters$ can be expressed as $1.477yard$.