Chapter 38, Problem 1AR

To determine

(a)

Convert the unit from inches to feet.

Answer to Problem 1AR

The length in feet is $6\frac{3}{4}\text{ft}$.

Explanation of Solution

Given:

Length is $81\text{in}$.

Concept used:

Divide the length by twelve to convert inch to feet.

Calculation:

Divide the length $81\text{in}$ by number of $12$ as follows:

  $\begin{array}{l}x=81÷12\\ x=\frac{27}{4}\\ x=6\frac{3}{4}\text{ft}\end{array}$

Thus, the length in feet is $6\frac{3}{4}\text{ft}$.

Conclusion:

The length in feet is $6\frac{3}{4}\text{ft}$.

To determine

(b)

Convert the unit from feet to inches.

Answer to Problem 1AR

The length in inch is $75\text{}\text{in}$.

Explanation of Solution

Given:

The length in feet is $6\frac{1}{4}\text{ft}$.

Concept used:

Multiply the length by twelve to convert feet to inch.

Calculation:

Multiply the length $6\frac{1}{4}\text{ft}$ by number of $12$ as follows:

  $\begin{array}{l}x=\left(6\frac{1}{4}\right)\times 12\\ x=\frac{25}{4}\times 12\\ x=75\text{}\text{in}\end{array}$

Thus, the length in inch is $75\text{}\text{in}$.

Conclusion:

The length in inch is $75\text{}\text{in}$.

To determine

(c)

Convert the unit from yard to feet.

Answer to Problem 1AR

The length in feet is $28.8\text{ft}$.

Explanation of Solution

Given:

The length in yard is $9.6\text{yards}$.

Concept used:

Multiply the length by three to convert yard to feet.

Calculation:

Multiply the length $9.6\text{yard}$ by number of $3$ as follows:

  $\begin{array}{l}x=\left(9.6\right)\times 3\\ x=28.8\text{ft}\end{array}$

Thus, the length in feet is $28.8\text{ft}$.

Conclusion:

The length in feet is $28.8\text{ft}$.

To determine

(d)

Convert the unit from centimeters to millimeters.

Answer to Problem 1AR

The length in millimeter is $27\text{mm}$.

Explanation of Solution

Given:

The length in centimeter is $2.7\text{cm}$.

Concept used:

Multiply the length by ten to convert centimeter to millimeter.

Calculation:

Multiply the length $2.7\text{cm}$ by number of $10$ as follows:

  $\begin{array}{l}x=\left(2.7\right)\times 10\\ x=27\text{mm}\end{array}$

Thus, the length in millimeter is $27\text{mm}$.

Conclusion:

The length in millimeter is $27\text{mm}$.

To determine

(e)

Convert the unit from meters to millimeters.

Answer to Problem 1AR

The length in millimeter is $800\text{mm}$.

Explanation of Solution

Given:

The length in meter is $0.8\text{m}$.

Concept used:

Multiply the length by thousand to convert meter to millimeter.

Calculation:

Multiply the length $0.8\text{m}$ by number of $1000$ as follows:

  $\begin{array}{l}x=\left(0.8\right)\times 1000\\ x=800\text{mm}\end{array}$

Thus, the length in millimeter is $800\text{mm}$.

Conclusion:

The length in millimeter is $800\text{mm}$.

To determine

(f)

Convert the unit from millimeters to centimeters.

Answer to Problem 1AR

The length in centimeter is $21.8\text{cm}$.

Explanation of Solution

Given:

The length in millimeter is $218\text{mm}$.

Concept used:

Divide the length by ten to convert millimeter to centimeters.

Calculation:

Divide the length $218\text{mm}$ by number of $10$ as follows:

  $\begin{array}{l}x=\left(218\right)÷10\\ x=21.8\text{cm}\end{array}$

Thus, the length in centimeter is $21.8\text{cm}$.

Conclusion:

The length in centimeter is $21.8\text{cm}$.