Question

ben is preparing a package to mail to his friend in switzerland. the parcel service he is using demands that his package be no greater than 55 cm on any side. if 1 inch is equivalent to 2.54 cm, what is the size limitation in inches?
a. 139.70 in
b. 134.75 in
c. 22.45 in
d. 21.65 in

Explanation:

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<reasoning>

Identify the given values and target unit

Using the Unit Conversion and Dimensional Analysis knowledge points
\[

$$\begin{aligned} &\text{Given length} = 55\text{ cm}\\ &\text{Conversion factor} = 1\text{ inch} = 2.54\text{ cm} \end{aligned}$$

\]

Convert centimeters to inches

Using the Unit Conversion and Dimensional Analysis knowledge points
\[

$$\begin{aligned} \text{Length in inches} &= \frac{55\text{ cm}}{2.54\text{ cm/in}} \\ &\approx 21.6535\text{ in} \end{aligned}$$

\]

Match with the given options

Using the Unit Conversion knowledge point
\[
21.6535\text{ in} \approx 21.65\text{ in} \implies \text{Option (d)}
\]
</reasoning>

<answer>
<mcq-option>a. 139.70 in</mcq-option>
<mcq-option>b. 134.75 in</mcq-option>
<mcq-option>c. 22.45 in</mcq-option>
<mcq-correct>d. 21.65 in</mcq-correct>
</answer>

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Answer:

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<reasoning>

Identify the given values and target unit

Using the Unit Conversion and Dimensional Analysis knowledge points
\[

$$\begin{aligned} &\text{Given length} = 55\text{ cm}\\ &\text{Conversion factor} = 1\text{ inch} = 2.54\text{ cm} \end{aligned}$$

\]

Convert centimeters to inches

Using the Unit Conversion and Dimensional Analysis knowledge points
\[

$$\begin{aligned} \text{Length in inches} &= \frac{55\text{ cm}}{2.54\text{ cm/in}} \\ &\approx 21.6535\text{ in} \end{aligned}$$

\]

Match with the given options

Using the Unit Conversion knowledge point
\[
21.6535\text{ in} \approx 21.65\text{ in} \implies \text{Option (d)}
\]
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<mcq-option>a. 139.70 in</mcq-option>
<mcq-option>b. 134.75 in</mcq-option>
<mcq-option>c. 22.45 in</mcq-option>
<mcq-correct>d. 21.65 in</mcq-correct>
</answer>

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