How many 3/4 centimeter cubes do u need to create a cube with an edge length of 12 centimeters

Question

How many  3/4 centimeter cubes do u need to create a cube with an edge length of 12 centimeters.

Answer 1

The volume of a cube is the length cubed: V = l³. If the length is 12, the volume is 12³=1728 cm³.

 

I can't tell if the 3/4 is the length of the cube or the volume, but I will start by assuming it's the volume (meaning the cubes have a volume of 3/4 cm³  each). To find how many of these cubes are needed to make the larger cube, just divide the larger by the smaller: 1728/(3/4) = 2308. 2308 cubes are needed.

 

If 3/4 is the length, each 3/4 cm cube has a volume of (3/4)³ = 27/64 cm³. This changes the final calculation to: 1728/(27/64) = 4096. 4096 cubes are needed in this case.

 

The distinction is tricky but important: a cube with 3/4 cm length is not the same as a cube of 3/4 cm³ volume.