A crated full of sugar cubes has a volume of 3 cubic ft. The volume of each sugar cube is 0.5 cubic inch. How many cubes are in the crate?
a)432
b)1728
c)5184
d)10368
I need help with this question.
To find the number of sugar cubes in the crate, we need to divide the volume of the crate by the volume of each sugar cube.
Step 1: Determine the volume of the crate
The volume of the crate is given as 3 cubic ft.
Step 2: Determine the volume of each sugar cube
The volume of each sugar cube is given as 0.5 cubic inch.
Step 3: Convert the volume of the crate to cubic inches
Since the volume of the sugar cubes is given in cubic inches, we need to convert the volume of the crate to cubic inches for the measurements to match.
1 cubic ft = 12 inches * 12 inches * 12 inches = 1728 cubic inches
So, the volume of the crate in cubic inches is 3 cubic ft * 1728 cubic inches/1 cubic ft = 5184 cubic inches.
Step 4: Divide the volume of the crate by the volume of each sugar cube
The number of sugar cubes can be found by dividing the volume of the crate by the volume of each sugar cube.
Number of sugar cubes = Volume of crate / Volume of each sugar cube
Number of sugar cubes = 5184 cubic inches / 0.5 cubic inches per cube = 10,368 cubes
Therefore, the correct answer is option d) 10,368.