Free Printable Dimensional Analysis (Showing the Steps!)

1.

Which of the following shows the correct work to convert 25.0 inches to cm? (Relationship: 1 inch = 2.54 cm)

a)

$25.0\ in\ \ x\ \ \frac{2.54\ cm}{1\ in}=$

b)

$2.54\ cm\ x\ \frac{1\ in}{25.0\ cm}=$

c)

$1\ in\ x\ \frac{2.54\ cm}{25\ in}=$

d)

$25\ in\ x\ \frac{1\ in}{2.54\ cm}=$

2.

Which of the following choices shows the correct setup to find out how many yards are in 575 inches?

a)

$575\ yd\ \ x\ \ \frac{3\ ft}{1\ yd}\ x\ \frac{12\ in}{1\ ft}=$

b)

$575\ in\ \ x\ \ \frac{1\ ft}{12\ in}\ x\ \frac{1\ yd}{3\ ft}=$

c)

$575\ in\ \ x\ \ \frac{12\ in}{1\ ft}\ x\ \ \frac{3\ ft}{1\ yd}\ =\$

d)

$575\ in\ \ x\ \frac{1\ ft}{12\ in}\ x\ \ \frac{3\ ft}{1\ yd}=$

3.

This is the correct setup to find out how many seconds are in 31 days. Solve it using a calculator!

31\ days\ x\ \frac{24\ hr}{1\ day}x\ \frac{60\ \min}{1\ hr}x\ \frac{60\ s}{1\ \min}\ =\

a)

44640 seconds

b)

1,000,000 seconds

c)

2,678,400 seconds

d)

525,600 minutes

4.

If 1 mile = 1.61 km, what is the correct work to solve how many miles are in 9,999 meters?

a)

$9,999\ m\ x\ \frac{1.61\ km}{1\ m}\ x\ \frac{1\ mi}{1000\ m}=$

b)

$9,999\ m\ x\ \frac{1\ km}{1000\ m}x\ \frac{1\ mi}{1.61\ km}=$

c)

$1.61\ km\ x\ \frac{1\ mi}{1000\ km}x\ \frac{9999\ m}{1\ mi}=$

d)

$9,999\ m\ x\ \frac{1.61\ km}{1\ mi}\ =\$

5.

What is the correct setup to convert 82 meters per second into meters per hour?

a)

$82\ mps\ x\ \frac{60\ s}{1\ \min}x\ \frac{1\min}{60\ hr}=$

b)

$\frac{82\ m}{1\ s}\ x\ \frac{1\ mi}{1,609\ m}\ x\ \frac{60\ s}{1\ \min}\ x\ \frac{60\ \min}{1\ hr}=$

c)

$\frac{82\ m}{1\ s}\ x\ \frac{60\ s}{1\ \min}\ x\ \frac{60\ \min}{1\ hr}=$

d)

$\frac{82\ m}{1\ s}\ x\ \frac{1\ s}{60\ \min}\ x\ \frac{1\ \min}{60\ hr}=$

6.

What is the correct setup to convert 15 miles per hour into meters per second? (Relationship: 1,609 m = 1 mile)

a)

$\frac{15\ mi}{1\ hr}\ x\ \frac{60\ hr}{1\ \min}\ x\ \frac{60\ \min}{1\ \sec}\ x\ \frac{1609\ m}{1\ mi}=$

b)

$15\ mph\ \ x\ \frac{1609\ m}{1\ mi}\ x\ \frac{60\ \min}{1\ hr}\ x\ \frac{60\ s}{1\ \min}\ =\$

c)

$\frac{15\ mi}{1\ hr}\ x\ \frac{1\ m}{1609\ mi}\ x\ \frac{1\ hr}{60\ \min}\ x\ \frac{60\ \min}{1\ s}=$

d)

$\frac{15\ mi}{1\ hr}\ x\ \frac{1,609\ m}{1\ mi}\ \ x\ \frac{1\ hr}{60\ \min}\ x\ \frac{1\ \min}{60\ s}=$

Dimensional Analysis (Showing the Steps!)

Total questions: 6

Worksheet time: 6mins

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