Volume

1
Volume

• Mr. V. Perez
• Grade 6 Science

2
Volume

• Volume is the amount of space an object takes up
• Regular objects have even surfaces and even edges
• Some examples of regular objects are cubes,
  aquarium tanks, blocks, etc
• What tools are needed to measure the volume of
  regular objects?
• A ruler and the formula for volume
• Volume (Length x Width) x Height
• V (L x W) x H
• The volume of a regular object is measured in cm3

3
Volume - Units

• The volume of a regular object is measured in
  cubed units or units3
• The volume of a irregular object is measured in
  liters (L) or milliliters (mL)
• The unit of volume of regular objects is cm3
• The unit of volume of irregular objects is liters
  (L) or milliliters (mL)
• Remember the following conversions
• 1 L 1,000 mL
• 1 L 1,000 cm3

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Volume of Regular Objects

• To find the volume of a regular object you must
  use the following formula
• VOLUME (Length x Width) x Height
• You can write the formula as V (L x W) x H

V (L x W) x H V (15 cm x 7 cm) x 4 cm V
105 cm2 x 4 cm V 420 cm3
Optional
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Check the Scale - Graduated Cylinder

• Before making a measurement on a graduated
  cylinder, make sure to check the scale of the
  minor marks between the whole numbers.

• Most minor marks are 1 mL, but they could also be
  2 mL, 10 mL, 0.1 mL, 0.2 mL, or even 0.5 mL
• Keep the graduated cylinder on the table, and
  lower your eyes to the level of the meniscus
• Read to the bottom of the meniscus

12.5 mL
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Volume of Irregular Objects

• Irregular Objects are objects without even edges
  and surfaces (ex ball, rock, etc.)
• To find the volume of an irregular object
• Use a graduated cylinder and measure to the
  meniscus. The meniscus is the bottom of the curve
  that represents the actual volume (not the sides
  which are pushed up)

• Notice that the liquid is being pushed up on the
  sides of the test tube. To measure correctly,
  you would take your reading on the BOTTOM of the
  curve. The dotted line indicates this point.

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Volume of Irregular Objects

• How would you describe the shape of a rock?
• Ex circular with rough edges, square with
  rounded edges, rectangular with jagged edges,
  etc.
• To calculate the volume of the rock (irregular
  shaped object)
• Calculate the volume of the water in the
  graduated cylinder (to the nearest mL)
• Place the rock (the irregular shaped object) into
  the graduated cylinder which will displace
  water
• Calculate the volume of the water and the
  irregular object (to the nearest mL)
• Subtract the volume of the water alone (without
  the irregular object) from the new volume
  (water and irregular object) to find the VOLUME

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Example - Volume of Irregular Object

• Volume of Water 25 mL
• Volume of Water and Rock (Irregular Object) 37
  mL
• 37 mL (Volume of Water and Rock)
• - 25 mL (Volume of Water)
• 12 mL (VOLUME OF ROCK)
• You are using water displacement to determine the
  volume of the irregular object

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Example - Volume of Irregular Object
V 22.64 mL
V 20.0 mL
The ring displaces 2.64 mL of water
22.64 mL (Volume of Water and Ring) - 20.00
mL (Volume of Water) 2.64 mL (VOLUME OF
RING)
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Example Reading the Meniscus
Volume 66 mL
Volume 76 mL
Volume 20.7 mL In this example, each line
represents one-tenth mL (or 0.1 mL)
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Volume Problem

• Find the volume of a solid with these dimensions
• Length 4.0 cm, Width 3.5 cm, Height 6.1 cm
• V (L x W) x H
• V (4.0 cm x 3.5 cm) x 6.1 cm
• V 14.0 cm2 x 6.1 cm
• V 85.4 cm3