Single Measurement Conversions
Investigation 1.1
Volume, Area, and Height
Dimensional Analysis Must-Knows
Percentage Problems
100

Convert 3ft into inches. (1ft=12in)

36 inches

100

What is land ice?

Ice that starts completely on the land

100

What is the volume formula?

V= l x w x h OR V= A x h

100

What is my starting number always set over?

1

100

Find 10% of 50

5

200

Convert 4.5mi into km.

(1mi=1.61km)

7.245km

200

What is sea ice?

Ice that starts floating in the ocean

200

What is the area formula?

A= l x w

200

What do we call the second fraction in a dimensional analysis problem?

the conversion factor

200

Find 15% of 512

76.8

300

Convert 31,200m into cm

(1m=100cm)

3,120,000cm

300

Which type of ice affects the sea level rise when it melts?

Land ice

300

What is the formula to solve for height?

V= A x h OR h= V/A

300

If my starting unit is on the top, where must it go in my conversion factor?

in the bottom

300

If 1/3 of this class was absent and we have 23 students, how many would not be in class?

7.6 students (or 7 you can't have 0.6 of a person)

400

Convert 3.4x10^5km into mi

(1mi=1.61km)

211,180.12mi

400

Why in our lab did we have to subtract the area of the land from the area of the container to take the area of the water?

The land was not covered in water and was therefore taking away an area of space away from the water.

400

Find the volume of a shape with the dimensions of:

l= 3.2cm     w= 4.6cm        h= 5.1cm

75.072cm^3

400

Explain why units I want to cancel out go in opposite sides of a fraction

Because anything divided by itself (including units) just equals 1. 

400

If 1/6 of the class was absent and there are 23 students total, how many would be present in class?

19.2 (or 19 because you can't have half a student)

500

The sea level rise of 2.3m corresponds to 23,000km^3 of ice. How much would the sea rise if only 12,500km^3 melted?

(2.3m=23,000km^3)

1.25m

500

Explain why sea ice does not contribute to sea level rise when it melts.

The sea ice is already displacing the water when it is frozen.

500

Find the new water height if the volume of ice which melted into it was 12,400km^3 and the water's area was 34,800km^2


0.356km

500

"Per" when used in a word problem means what as a mathematical symbol?

A fraction bar

500

If 1/10 of the global population disappeared, and there are 8.6 billion people on the earth, how many people are gone?

860,000,000 people