Volume Any solid figure can be filled completely with congruent cubes and parts of cubes. The volume of a solid is the number of cubes it can hold. Each cube represents a unit of measure called a cubic unit.

Prisms:

VOLUME OF A PRISM

The volume V of a prism is the area of its base B times its height h.

V = Bh

If you have a Rectangular Prism; B= l x wIf you have a Triangular Prism; B= ½ b x h

Visual Aid:

4 cm · 3 cm · 1cm = 12 cm3

length · width · height = volume

area ofbase

· height = volume

1 cm

4 cm

3 cm

Examples:

4.1 ft4.1 ft

12 ft

V = Bh Use the formula.The bases are rectangles.The area of each rectangular base is 12 · 4.1 = 49.2V = 49.2 · 4.1 Substitute for B and h.V = 201.72 Multiply.

The volume to the nearest tenth is 201.7 ft3.

On your own…

1.)

861.8 cm3

312 ft3

2.) triangular prism: base area = 24 ft2, height = 13 ft