Which of the following expressions can be used to find how many cubes with edge lengths of 1/3 unit fit in a prisim of 5 units by 5 units by 8 units? explain or show your reasoning

5400 cubes can be fit into the prism.

Step-by-step explanation:

We are given the dimensions of prism as:

5 units by 5 units by 8 units i.e. 5 units×5 units×8 units.

Hence, the volume of the prism is given by:

Volume of prism=5×5×8=200 cubic units

Also the edge length of cube is given by= 1/3 unit.

Hence volume of 1 cube=

Hence volume of 1 cube= (1/27) cubic units.

Let 'n' cubes can be fitted into the prism.

Hence we have the relation as:

Volume of prism=n×Volume of 1 cube.

200=n×(1/27)

n=200×27

n=5400

Hence 5400 cubes can be fitted into the prism.

sup

step-by-step explanation: