# Volume of Rectangular Solids

## Presentation on theme: "Volume of Rectangular Solids"— Presentation transcript:

Volume of Rectangular Solids

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

Measuring the Volume of Solid or Irregular Objects

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

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

Example: cm x cm x cm = cm³
Why is the unit cm³ used when calculating the volume of a rectangular object? When multiplying the object’s length, width and height, the cm units are also multiplied by 3 Example: cm x cm x cm = cm³

The SI unit known for measuring solids with a larger volume is known as the…
Cubic meter = m³

m x m x m = m³ 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

Volume = Length x Width x Height
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

Volume of Irregular Solids

Meniscus

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

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

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