VolumeVolume

Volume of Rectangular Volume of Rectangular SolidsSolids

Common Conversions For Common Conversions For VolumeVolume

1 L1 L ==

== 1,000 cm³1,000 cm³

1 mL1 mL ==

1,000 mL1,000 mL

1 L

1 cm³1 cm³

Measuring the Measuring the Volume of Solid Volume of Solid or Irregular or Irregular ObjectsObjects

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

To measure solid objects To measure solid objects

that are regular shape, a that are regular shape, a

formula for volume can be formula for volume can be

appliedapplied

The formula for calculating The formula for calculating the volume of a the volume of a rectangular object is:rectangular object is:

Volume = Length x Width x Volume = Length x Width x HeightHeight

Volume = L x W x HVolume = L x W x H

Volume = 3cm x 15cm x 4cmVolume = 3cm x 15cm x 4cm

Volume = 180 cmVolume = 180 cm³³

Why is the unit Why is the unit cm³cm³ used used when calculating the when calculating the volume of a rectangular volume of a rectangular object?object?

When multiplying the object’s When multiplying the object’s length, width and height, the cm length, width and height, the cm units are also multiplied by 3units are also multiplied by 3

ExampleExample: cm x cm x cm = : cm x cm x cm = cmcm³³

The SI unit known for The SI unit known for measuring solids with a measuring solids with a larger volume is known as larger volume is known as the…the… Cubic meter = mCubic meter = m³³

What is a cubic meter?What is a cubic meter? The SI unit used to measure solids The SI unit used to measure solids

with a larger volumewith a larger volume A cubic meter is equal to the volume A cubic meter is equal to the volume

of a cube that measures 1 meter on of a cube that measures 1 meter on each sideeach side

m x m x m = mm x m x m = m³³ HintHint: Think of a big box : Think of a big box

whose 3 sides measure 1 whose 3 sides measure 1 meter eachmeter each

Suppose a cereal box is Suppose a cereal box is 1010 centimeters long, centimeters long, 44 centimeters centimeters wide, and wide, and 2020 centimeters high. centimeters high. What would be the volume of the What would be the volume of the box?box?

Volume = Length x Width x Volume = Length x Width x HeightHeight

Volume = Volume = 10 cm x 4 cm x 20 cm10 cm x 4 cm x 20 cm

Volume = Volume = 800 cm800 cm³³

VolumeVolume

Volume of Irregular Solids Volume of Irregular Solids

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

To measure the volume of an To measure the volume of an irregular solid, immerse the irregular solid, immerse the object in water, and measure object in water, and measure how much the water level riseshow much the water level rises

This method is called the: This method is called the:

Water Displacement MethodWater Displacement Method

How does the water How does the water displacement method work?displacement method work?

1.Record the volume of water in the first 1.Record the volume of water in the first beaker or graduated cylinderbeaker or graduated cylinder

Example: Example: 20 ml20 ml

2. Carefully place the irregular solid into 2. Carefully place the irregular solid into the water. Record the volume of the the water. Record the volume of the water plus the objectwater plus the object

Example: Example: Now the volume is 32 mlNow the volume is 32 ml

3.Subtract the volume of the 3.Subtract the volume of the water alonewater alone

from the volume of the from the volume of the water plus the water plus the

objectobject

Example: Example: 32 ml – 20 ml = 12 ml32 ml – 20 ml = 12 ml

Water DisplacementWater Displacement

ProblemProblem The graduated cylinder The graduated cylinder

has has 22 ml22 ml of water of water When you add the rock, When you add the rock,

the water rises to the water rises to 33 ml33 ml.. What is the volume of the What is the volume of the

rock?rock? 33 ml – 22 ml = 11ml33 ml – 22 ml = 11ml

The volume of the rock is The volume of the rock is 11 ml11 ml