Volume of a Square Prism, Ross Solid #4

Volume of a Square Prism, Ross Solid #4

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Description
This is the fourth in a series of models illustrating the volume of solids designed by William Wallace Ross, a school superintendent and mathematics teacher in Fremont, Ohio. It consists of two unpainted wooden square prisms. A paper label on one of them reads: Four Oblong or Square Prisms. As both this label and Ross’s manual for his models suggest, two of the pieces of this model have not survived.
Ross took the fundamental unit of measure of rectangles to be one square inch, and the fundamental unit of measure for solids to be one cubic inch. He argued from there that a 1” x 6” rectangle had an area of 6 square inches (see 1985.0112.191). Similarly, he found that both of these solid models consisted of 6 cubic inches. Two in a row would had twice the volume, or 12 cubic inches. From this, he generalized that the volume of a rectangular solid was equal to the area of the base times the altitude.
Object 1985.0112.207 is also shown in the image.
Compare models 1985.0112.205 through 2012.0112.217. For further information about Ross models, including references, see 1985.0112.190.
Location
Currently not on view
Object Name
Geometric Models
date made
ca 1895
place made
United States: Ohio, Fremont
Physical Description
wood (overall material)
Measurements
overall: 2.5 cm x 15.2 cm x 2.5 cm; 31/32 in x 5 31/32 in x 31/32 in
ID Number
1985.0112.206
catalog number
1985.0112.206
accession number
1985.0112
Credit Line
Gift of Wesleyan University
subject
Mathematics
See more items in
Medicine and Science: Mathematics
Science & Mathematics
Data Source
National Museum of American History
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