Chapter 7, Problem 1P

To determine

Estimate the dimensions of the given objects. Compare the estimated value with actual dimension of the object.

Check the valuing capacity of dimension from the comparison.

Explanation of Solution

Use the following procedure to estimate and compare with actual dimension of the object:

• Value the dimensions of the given object without using any measuring device. This is called estimated values.
• List the estimated values in Table 1.
• Measure the actual dimension of the object by using the measuring instruments.
• List the actual values of the objects in Table 1.
• Compare the estimated value with measured value.
• Calculate the difference between the estimated and actual value.

Provide the estimated value, actual dimensions, and the difference between each object as shown in table 1.

Object	Estimated values		Measured values		Difference
This book	$23\text{cm}$	$9\text{in}\text{.}$	$24.89\text{cm}$	$9.8\text{in}\text{.}$	$1.89\text{cm}$	$0.8\text{in}\text{.}$
A pen or pencil	$18\text{cm}$	$7\text{in}\text{.}$	$19\text{cm}$	$7.5\text{in}\text{.}$	$1\text{cm}$	$0.5\text{in}\text{.}$
A laptop computer (closed)	$30.5\text{ cm}$	$12\text{ in}\text{.}$	$33.02\text{ cm}$	$13\text{ in}\text{.}$	$2.52\text{ cm}$	$1\text{ in}\text{.}$
A 12-fl.-oz soda can	$\begin{array}{l}13\text{cm}\\ \text{high}\end{array}$	$\begin{array}{l}5\text{in}\text{.}\\ \text{high}\end{array}$	$\begin{array}{l}12.27\text{cm}\\ \text{high}\end{array}$	$\begin{array}{l}4.83\text{in}\text{.}\\ \text{high}\end{array}$	$0.73\text{cm}$	$0.17\text{in}\text{.}$
The distance from home to school	$5\text{km}$	$3\text{miles}$	$4\text{km}$	$2.49\text{miles}$	$1\text{km}$	$0.51\text{miles}$
A dollar bill	$15\text{ cm}$	$5.5\text{ in}\text{.}$	$15.60\text{ cm}\text{.}$	$6.14\text{ in}\text{.}$	$0.60\text{ cm}$	$0.23\text{ in}\text{.}$
The height of your engineering building	$42\text{m}$	$140\text{ft}$	$45.6\text{m}$	$149.61\text{ft}$	$3.6\text{m}$	$9.61\text{ft}$
Wingspan of a Boeing 747	$55\text{m}$	$180\text{ft}$	$59\text{m}$	$193.57\text{ft}$	$4\text{m}$	$13.57\text{ft}$

Table 1

Refer to Table 1:

The difference between the estimated and calculated value is minimum. The accuracy of estimated value is moderate.