Respuesta :
1 foot = 12 inches
Number of one-inch cubes that can fit in length wise = 12
Number of one-inch cubes that can fit in width wise = 12
Number of one-inch cubes that can fit in height wise = 12
Total one-inch cube = 12³ [or 12 x 12 x 12]
Total one-inch cube = 1728
Inch cube to foot cube:
1) multiplying it by 12
2) cube it.
Foot cube to Inch cube:
1) cube root it
2) divide by 12
Number of one-inch cubes that can fit in length wise = 12
Number of one-inch cubes that can fit in width wise = 12
Number of one-inch cubes that can fit in height wise = 12
Total one-inch cube = 12³ [or 12 x 12 x 12]
Total one-inch cube = 1728
Inch cube to foot cube:
1) multiplying it by 12
2) cube it.
Foot cube to Inch cube:
1) cube root it
2) divide by 12
1728 1-inch cubes need to fill a cube that has an edge length of 1 foot, to convert from cubic inch to cubic feet divide it by cube of 12 inches and vice versa.
What is unit conversion?
It is defined as the conversion from one quantity unit to another quantity unit followed by the process of division, multiplication by a conversion factor.
We know the volume of a cube is given by:
V = a³
Where a is the side of a cube.
We have length of the cube a = 1 foot
1 foot = 12 inches
a = 12 inches.
Now put this value in the formula, we get:
V = 12³
V = 1728 cubic inches
The volume of a one cubic foot is 1728 cubic inches
To convert a volume from cubic inch to cubic feet we must divide it by cube of 12 inches.
To convert a volume from cubic feet to cubic inches we must multiply it by cube of 12 inches.
Thus, 1728 1-inch cubes need to fill a cube that has an edge length of 1 foot, to convert from cubic inch to cubic feet divide it by cube of 12 inches, and for cubic feet to cubic inches multiply it by cube of 12 inches.
Learn more about the unit conversion here:
brainly.com/question/14350438
