How many one-millimeter cubes do you need to fill a cube that has an edge length of 1 centimeter?
1 cm = 10 mm
(1 cm)^3 = (10 mm)^3 = 1000 mm^3
Well, I'm not a mathematician, but let's see if we can figure this out. If we have a cube with an edge length of 1 centimeter, that means each side of the cube measures 1 centimeter. To find the number of one-millimeter cubes needed to fill the larger cube, we can use some basic division.
Since 1 centimeter is equal to 10 millimeters, the larger cube would be made up of smaller cubes that are 1 millimeter on each side. So, we can calculate the number of one-millimeter cubes by dividing the volume of the larger cube by the volume of the smaller cube.
The volume of the larger cube can be found by multiplying the length, width, and height, which are all 1 centimeter:
1 cm x 1 cm x 1 cm = 1 cm³
The volume of the smaller one-millimeter cube is determined by multiplying the length, width, and height, which are all 1 millimeter:
1 mm x 1 mm x 1 mm = 1 mm³
Now, we just need to divide the volume of the larger cube by the volume of the smaller cube:
1 cm³ ÷ 1 mm³ = 1000
So, it seems that you would need 1000 one-millimeter cubes to fill a cube that has an edge length of 1 centimeter. But hey, don't get too caught up in the numbers; I hear that size doesn't always matter!
To determine the number of one-millimeter cubes needed to fill a cube with an edge length of 1 centimeter, we need to calculate the volume of the larger cube and divide it by the volume of each one-millimeter cube.
1 centimeter is equal to 10 millimeters, so the edge length of the larger cube is 10 millimeters.
The volume of a cube is calculated by multiplying the length of one side by itself twice. Therefore, the volume of the larger cube is 10 mm * 10 mm * 10 mm = 1000 cubic millimeters.
Since each one-millimeter cube occupies 1 cubic millimeter of space, we divide the volume of the larger cube (1000 cubic millimeters) by the volume of each one-millimeter cube (1 cubic millimeter).
1000 cubic millimeters / 1 cubic millimeter = 1000
Therefore, you would need 1000 one-millimeter cubes to fill a cube that has an edge length of 1 centimeter.
To find out how many one-millimeter cubes are needed to fill a cube with an edge length of 1 centimeter, we need to understand the conversion between millimeters and centimeters.
There are 10 millimeters in 1 centimeter. So, if the edge length of the cube is 1 centimeter, it is equivalent to 10 millimeters.
Now, let's calculate the volume of the larger cube with an edge length of 1 centimeter. The formula to find the volume of a cube is V = edge^3, where V represents the volume and edge represents the length of the edge.
In this case, the edge is 1 centimeter, so the volume is 1^3 = 1 cubic centimeter.
Let's convert this volume to cubic millimeters to match the size of the smaller cubes. Since there are 10 millimeters in 1 centimeter, we can multiply the volume (in cubic centimeters) by 10^3 to convert it to cubic millimeters.
1 cubic centimeter * (10 millimeters / 1 centimeter)^3 = 1,000 cubic millimeters
Therefore, you would need 1,000 one-millimeter cubes to fill a cube with an edge length of 1 centimeter.