Volume

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Volume

• Volume of Rectangular Solids

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Common Conversions For Volume Common Conversions For Volume Common Conversions For Volume
1 L
1,000 cm³
1 mL
1,000 mL
1 L

• 1 cm³

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• Measuring the Volume of Solid or Irregular Objects

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How can the volume of a solid object such as a
shoebox be measured?

• To measure solid objects that are regular shape,
  a formula for volume can be applied

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The formula for calculating the volume of a
rectangular object is

• Volume Length x Width x Height
• Volume L x W x H
• Volume 3cm x 15cm x 4cm
• Volume 180 cm³

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Why is the unit cm³ used when calculating the
volume of a rectangular object?

• When multiplying the objects length, width and
  height, the cm units are also multiplied by 3
• Example cm x cm x cm cm³

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The SI unit known for measuring solids with a
larger volume is known as the

• Cubic meter m³

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What is a cubic meter?

• The SI unit used to measure solids with a larger
  volume
• A cubic meter is equal to the volume of a cube
  that measures 1 meter on each side
• m x m x m m³
• Hint Think of a big box whose 3 sides measure 1
  meter each

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Suppose a cereal box is 10 centimeters long, 4
centimeters wide, and 20 centimeters high. What
would be the volume of the box?

• Volume Length x Width x Height
• Volume 10 cm x 4 cm x 20 cm
• Volume 800 cm³

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Volume

• Volume of Irregular Solids

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How is the volume of an irregular solid such as a
rock measured?

• To measure the volume of an irregular solid,
  immerse the object in water, and measure how much
  the water level rises
• This method is called the
• Water Displacement Method

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How does the water displacement method work?

• 1.Record the volume of water in the first beaker
  or graduated cylinder
• Example 20 ml
• 2. Carefully place the irregular solid into the
  water. Record the volume of the water plus the
  object
• Example Now the volume is 32 ml
• 3.Subtract the volume of the water alone from the
  volume of the water plus the object
• Example 32 ml 20 ml 12 ml

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Water Displacement

• Problem
• The graduated cylinder has 22 ml of water
• When you add the rock, the water rises to 33 ml.
• What is the volume of the rock?
• 33 ml 22 ml 11ml
• The volume of the rock is 11 ml