Lin's teacher uses the box to store her set of cubes with an edge length of one half inch. if the box is completely full, how many cubes are in the set?

448 cubes

Step-by-step explanation:

Volume of cubes fitted in the box will be equal to the cumulative volume of the cubes.

Since, volume of a cube = (Side)³

Side of the cube = inch

Therefore, volume of the cube = inches

Volume of the storage box = 56 cubic inches

Since, number of cubes fitted in the storage box =

                                                                                 =

                                                                                 = 56 × 8

                                                                                 = 448 cubes

Therefore, number of cubes fitted in the storage box = 448

he used the algebra tiles correctly.

step-by-step explanation:

given : 3x(2x-1)

solution :

since he used algebra tiles .

armando's solution is the same in the solution shown in figure

as he distributed 2x into x and x and wrote them vertically

and also write   -1 vertically

and 3x into x and x and x and wrote it horizontally

performing the multiplication in the algebra tiles we get

and solving the given expression :

3x(2x-1)

since solving the expression using tiles   and solving the expression algebraically we get the same answer

thus   we can choose the first statement as the answer to this problem which is "he used the algebra tiles correctly".

i'm assuming that it's c.)   volcanoes built the mountains and earthquakes tore them down.