Answer:
the display case is 6.07 in tall.
Step-by-step explanation:
Step 1:
The volume of the empty is determined by taking the difference between the volume of the ball and the volume of the cube. Therefore,
V_empty = V_cube - V_ball
V_cube = V_empty + V_ball
V_cube = 216 in³ + 8 in³
V_cube = 224 in³
Thus, the volume of the cubed display is 224 in³.
Step 2:
The volume of a cube is:
V_cube = l³
Thus,
l = ∛[V_cube]
l = ∛[224 in³]
l = 6.07 in
Therefore, the display case is 6.07 in tall.
