Find Volume of Composed Figures

Front

What is volume?

Back

Volume is the amount of space an object occupies, measured in cubic units.

Front

How do you find the volume of a rectangular prism?

Back

Multiply the length, width, and height: Volume = length × width × height.

Front

What is a composite figure?

Back

A composite figure is a shape made up of two or more simple shapes.

Front

How do you find the volume of a composite figure?

Back

Find the volume of each simple shape and then add them together.

Front

What units are used to measure volume?

Back

Common units include cubic centimeters (cm³), cubic meters (m³), cubic inches (in³), and cubic feet (ft³).

Front

If a rectangular prism has a length of 5 ft, width of 4 ft, and height of 3 ft, what is its volume?

Back

Volume = 5 ft × 4 ft × 3 ft = 60 ft³.

Front

What is the volume of a cylinder?

Back

Volume = π × radius² × height.

Front

How do you calculate the volume of a sphere?

Back

Volume = (4/3) × π × radius³.

Front

If a composite figure consists of a cube with a volume of 27 cm³ and a cylinder with a volume of 15 cm³, what is the total volume?

Back

Total Volume = 27 cm³ + 15 cm³ = 42 cm³.

Front

What is the formula for the volume of a cone?

Back

Volume = (1/3) × π × radius² × height.