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Volume: Prisms height

Volume is the space that a figure occupies. Volume is measured in cubic units, such as in.3 (cubic inches) or m3 (cubic meters). To find the volume of a prism, you will need to know the lengths, width and height of a prism.

base

lateral face base

Rules for Finding the Volume of a Prism

1. Identify the shape of the base. Use the area formula for that shape

to find the area of the base.

2. Identify the height of the prism.

3. Use the formula V = Bh to find the volume of the prism. B is the area of the base from Rule 1 and h is the height from Rule 2.

Example

5

Find the volume of the prism.

4

3

Step 1 Identify the shape of the base. Use the

area formula for that shape to find the area of the base.

The base is a rectangle, A = lw.

The length is 4 and the width is 3.

A = 3 × 4 = 12

Step 2 Identify the height of the prism.

The height is 5.

Step 3 Use the formula V = Bh. B is the area

V = Bh = (12)(5) = 60 cubic units

of the base from Rule 1 and h is the height from Rule 2.

Practice

Find the volume of each prism.

easy peasy

Beautiful Bow-Tie Belt

What Do I Need?

•⅜ yard of fun fabric

•½ yard of featherweight fusible interfacing

•2 D-rings (1˝)

•Fun-colored sewing thread to coordinate with the fabric

• Basic sewing supplies

special skills

•Refer to The Rules of Sewing

• Using an iron

If you are using a ¼˝ presser foot, don’t forget to use washi tape as a guide to make the correct seam allowance width for this project.

Prepare the Pieces

1.Cut 1 piece of fabric and 1 piece of interfacing to measure 6˝ × 10˝ for the bow tie.

2.Cut 1 piece of fabric and 1 piece of interfacing to measure 3˝ × 3½˝ for the center piece of the bow tie.

3.Cut 1 piece of fabric and 1 piece of interfacing to measure 5˝ wide and your waist measurement plus 8˝ in length for the belt.

TIP