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"To find the number of bushels of grain in a bin or box, multiply the length in feet by the height in feet, then by the width in feet and then by 8. For instance. In a bin 10 feet long, 6 feet high and 8 feet wide, 10 x 8 x 6 x 8 = 384." -Foster, 1921

Capacity

"To find the number of bushels of grain in a bin or box, multiply the length in feet by the height in…

"A pile of wood 1 ft. long, 4 ft. wide, and 4 ft. high, or 1/8 of a cord, is called a cord foot. Find the number of cords of wood in a pile of 25ft. long, 4 ft. wide, and 6 ft high. (Solution: 4 and 11/16)" -Moore, 1907

Cord Foot of Wood

"A pile of wood 1 ft. long, 4 ft. wide, and 4 ft. high, or 1/8 of a cord, is called a cord foot. Find…

A cube after additions have been made.

Cube

A cube after additions have been made.

A cube (A) has sides of 20 inches in length each, making its solid contents equal 8000 cubic inches. Being added are 3 equal portions 20x20x5, equaling 2000 cubic inches. The sum of these are 6000. You can find the second portion of the problem <a href="../62392/62392_cube_add2.htm">here</a>.

Cube with Additions 1

A cube (A) has sides of 20 inches in length each, making its solid contents equal 8000 cubic inches.…

In order to fill in the spaces from the three 2000 cubic inch additions, four new additions must be added: three 20x5x5 bars equaling 500 cubic inches and a 5x5x5 (125 cubic inches) cube for the corner. You can find the final cube <a href="../62393/62393_cube_add3.htm">here</a>.

Cube with Additions 2

In order to fill in the spaces from the three 2000 cubic inch additions, four new additions must be…

This is the final form of the original 20x20x20 inch or 8000 cubic inch cube with the addition of 7625 cubic inches making it a 25x25x25 inch cube equaling 15,625 cubic inches. You can find the original cube <a href="../62391/62391_cube_add1.htm">here</a>.

Cube with Additions 3

This is the final form of the original 20x20x20 inch or 8000 cubic inch cube with the addition of 7625…

A visual representation of cubing. "In the diagrams, Figure 1 represents 40 cubed and has a content of 64,000 cubic units; Figure 2 represents 3(40 squared x 8) and the contents of these three blocks are 38,400 cubic units; Figure 3 represents 3(40 x 8 squared) and the contents of these blocks are 7,680 cubic units; Figure 4 represents 8 cubed or 512 cubic units." -Foster, 1921

Cubing

A visual representation of cubing. "In the diagrams, Figure 1 represents 40 cubed and has a content…

Visual of eggs showing 3/4 of a dozen and 1/4 of a dozen. 3x4=12, a dozen.

Dozen in Fourths

Visual of eggs showing 3/4 of a dozen and 1/4 of a dozen. 3x4=12, a dozen.

A flashcard featuring a math symbol for Multiplication

Flashcard of a math symbol for Multiplication

A flashcard featuring a math symbol for Multiplication

This machine is used for multiplication, and division purposes. Multiplication is the mathematical operation of scaling one number by another. It is one of the four basic operations in elementary arithmetic. Conceptually, division describes two distinct but related settings. Partitioning involves taking a set of size a and forming b groups that are equal in size. The size of each group formed, c, is the quotient of a and b. Quantitate division involves taking a set of size a and forming groups of size b. The number of groups of this size that can be formed, c, is the quotient of a and b

Multiplying or Dividing Machine

This machine is used for multiplication, and division purposes. Multiplication is the mathematical operation…

Three students playing a math game in the classroom, throwing beanbags into a circle and doing multiplication problems on the chalkboard.

Math Game

Three students playing a math game in the classroom, throwing beanbags into a circle and doing multiplication…

The circle of multiples can be used as a practice game in class. The outside ring are multiples and the inner ring are factors. n represents the other factor. The teacher points to a set of numbers and students replace n with the other factor. For instance, if 72 is chosen, 8 is the factor, and n would be 9.

Multiples

The circle of multiples can be used as a practice game in class. The outside ring are multiples and…

Illustration of 2 children comparing multiplication flash cards. It can be used to write mathematics story problems involving multiplication.

Children Holding Multiplication Cards

Illustration of 2 children comparing multiplication flash cards. It can be used to write mathematics…

Addition, subtraction, and multiplication wheels students use to spin and find the solutions.

Number Wheels

Addition, subtraction, and multiplication wheels students use to spin and find the solutions.

An geometric illustration of the algebraic product of (x+y)(x+y).

Representation of Algebraic Product of (x+y)(x+y)

An geometric illustration of the algebraic product of (x+y)(x+y).

The sector is a hinged rule with scales used for various mathematical calculations.

Sector

The sector is a hinged rule with scales used for various mathematical calculations.