G - Volume of Prisms and Cylinders

Volume of Prisms and Cylinders

Volume

Volume is the space a figure occupies.

It is measured in cubic units.

Theorem 10-5

If two figures have the same height and the same cross-sectional area at every level, they have the same volume.

The figures in the diagram have a cross-sectional area of 6cm². Since they have the same height, their volumes must be the same.

Volume of a Prism

The volume of a prism is the product of the area of a base and the height of the prism.

V = Bh

Finding the Volume of a Rectangular Prism

Find the volume of the prism

Finding the Volume of a Triangular Prism

Find the volume of the prism

Multiple Choice

Find the volume

• 150m³

• 60m³

• 30m³

• 300m³

Volume of a Cylinder

The volume of a cylinder is the product of the area of the base and height of the cylinder.

V = Bh or

V = πr²h

Finding the Volume of a Cylinder

Find the volume of the cylinder.

Multiple Choice

Find the volume of the oblique cylinder.

• 128m³

• 409.3m³

• 804.2m³

• 679.2m³

Finding the Volume of a Composite Figure

Find the volume of the backpack.