room on th e outside of a shape, and volume is the amount of space inside a

shape. Discuss the importance of measuring volume, giving such examples as

knowing how much water a pool will hold, how muc h air fills a SCUB A tank,

or how m uch cement fits in a cem ent mixer. Ask students for other examples.

Students will benefit from practice with building, measuring, and filling

containers to understand volume. Each shape has openings in the base and

can be filled with water, sand, rice, or other materials. By filling one shape

and pouring its contents into anot her shape, students can explore volume

relationships between shapes. If you i ntend to have students perform exact

measurements using a graduated cylinder, be sure they are comfortable

reading the bottom edge of the water level, or

meni scus.

 

 

Not e: The b ottoms of e

ach shape are not rem ovable.

 

 

Challenge students to estimate the volume of each shape and place them in

order from largest to sm allest volume. You may want to allow students to

fill t heir shapes to make more accurate estimations. A s you introduce the

formulas for finding the volume of each shape, encourage students to refer

to the shapes for reference. You may wish to distribute copies of the table

on page 2 for reference.

 

 

 

 

 

 

 

 

Once you have finished your discussion, students can mathematically

calculate the volume of each shape to confirm the accuracy of their initial

guesses about volume.

 

 

 

 

 

 

 

 

These models were built using the m etric system. Although they can be us ed

with any measurement system, m etric is easiest. Because of the thicknes s of

the plastic, measurements between students might be sli ghtly “off,” depending

on if they measure from the inside edges or the outside edges. If students round

to the nearest centimeter, this wil l not be a problem.

 

 

 

 

 

 

Volume Formulas

 

 

 

 

 

 

 

 

Pris m

 

 

 

 

 

 

 

 

Finding the volume of a general prism is simply a matter of multiplying the

area of the base times the height of the prism:

 

 

 

 

 

 

 

Volum egeneral prism = A

H

 

 

 

 

 

 

 

A = A rea of the base.

 

 

 

 

 

 

 

 

H = H eigh t of the prism.

 

 

 

 

 

 

 

 

The formula for the area of the base of the prism

 

 

 

 

 

 

depends upon the shape

 

 

 

 

 

 

 

 

of the base.

 

H

 

 

 

 

l

 

Re ctangul ar Pr ism

 

 

 

 

 

 

 

 

 

 

 

Volum erectangular prism = A

H

 

 

w

 

 

 

 

 

 

 

 

 

 

5

 

 

 

 

 

 

 

Page 6
Image 6
Learning Resources LRM320B-GUD manual Volume Formulas, Pris m, = H eigh t of the prism, Re ctangul ar Pr ism

LRM320B-GUD specifications

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