A rectangular prism with a volume of 3 cubic units is filled with cubes with side lengths of 1/4 unit
Answers
Answer: 192 cubes with 1/4 side length
Step-by-step explanation:
to start, you need to calculate how many cubes are needed to fill one cubic unit. because they have 1/4 side length, 4 can fill one side. then, we quadruple that because there would three more fourths needed. think of each cubic unit as a 4x4 rubik's cube, and every cube with 1/4 side length is one cube in the rubik's cube. so because there are four layers and each layer is 16, 4*16 is 64. then, because the rectangular prism has a volume of 3 cubic units, we do 64*3 to get 192. hope this helped, please mark me brainliest?
Answer: 192
Step-by-step explanation:
the volume of the prism is 3 cubic unit. this means the prism can be filled with three 1 x 1 x1 unit cubes.
how many cubes with 1/4 unit side lenght can fit in a cube with 1 unit side lenghts?
there are 64 cubes with 1/4 unit side lenght in 1 cubic unit.
since the rectangular prism made is made up of 333 cubic units, we would have 3 x 64 total cunes with 1/4 unit side lenght.
3 x 64 =192
its takes 192 of the 1.4 unit cube to fill the prism.