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Converting Area and Volume

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Learning Goals

By the end of the lesson I will be able to:

  • Convert area and volume between different systems of measurement

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Example

How many meters are there in 20 feet?

Let d be the number of meters in 20 feet.

d

20 feet

According to our sheet, there are .304 m in 1‘.

.304 m

1 foot

=

d

(20 feet)(.304 m)

1 foot

=

d

6.08 m

=

Therefore there are about 6.08 m in 20 feet.

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Sorting!

Sort the following items into Length, Area or Volume

mm

cm

m

mm2

cm2

m2

mm3

cm3

m3

feet

inch

yard

feet2

inch2

yard2

feet3

inch3

yard3

​

Length

Area

Volume

Imperial System

​

​

​

Metric System

​

​

​

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Sorting!

Notice: Area is all squared and volume is all cubed!

mm

cm

m

mm2

cm2

m2

mm3

cm3

m3

feet

inch

yard

feet2

inch2

yard2

feet3

inch3

yard3

​

Length

Area

Volume

Imperial System

​

​

​

Metric System

​

​

​

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That’s a hint!

This provides us with a hint for what to do with the units:

10 mm

1 cm

1 cm2 =

100 mm2

To convert AREA,

SQUARE the measurement

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That’s a hint!

This provides us with a hint for what to do with the units:

3 feet

1 yard

1 yard2 =

9 feet2

To convert AREA,

SQUARE the measurement

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That’s a hint!

This provides us with a hint for what to do with the units:

10 mm

1 cm

1 cm3 =

1000 mm3

To convert VOLUME,

CUBE the measurement

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That’s a hint!

This provides us with a hint for what to do with the units:

3 feet

1 yard

1 yard3 =

27 feet3

To convert VOLUME,

CUBE the measurement