A crate full of sugar cubes has a volume of 3 cubic feet. The volume of each sugar cube is 0.5 cubic inch. How many sugar cubes are there in the crate?
1 ft = 12 in
1 ft ^ 3 = 12 ^ 3 in ^ 3
1 ft ^ 3 = 1728 in ^ 3
3 ft ^ 3 = 3 * 1728 = 5184 in ^ 3
5184 / 0.5 = 5184 * 2 = 10368 sugar cubes
To calculate the number of sugar cubes in the crate, we need to find the ratio of the crate's volume to the volume of each sugar cube and divide them.
First, we need to convert the volume of the crate from cubic feet to cubic inches. Since 1 cubic foot is equal to 12 x 12 x 12 = 1,728 cubic inches, multiplying the crate's volume by 1,728 will give us the volume in cubic inches.
The volume of the crate in cubic inches is calculated as follows:
3 cubic feet * 1,728 cubic inches/1 cubic foot = 5,184 cubic inches.
Now, we can divide the volume of the crate by the volume of each sugar cube to get the number of sugar cubes:
5,184 cubic inches ÷ 0.5 cubic inch/sugar cube = 10,368 sugar cubes.
Therefore, there are 10,368 sugar cubes in the crate.