Question

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?​

Answer 1

Answer:

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 = $\frac{1}{2}$ inch

Therefore, volume of the cube = $(\frac{1}{2})^3=\frac{1}{8}$ inches

Volume of the storage box = 56 cubic inches

Since, number of cubes fitted in the storage box = $\frac{\text{Volume of the storage box}}{\text{Volume of one cube}}$

                                                                                 = $\frac{56}{\frac{1}{8}}$

                                                                                 = 56 × 8

                                                                                 = 448 cubes

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