Answer:
6 inches
Step-by-step explanation:
Step 1
Find the volume of the display case
From the above question:
Volume of the small ball = 8 inches
Volume of the free space inside the display case = 208 cubic inches
Volume of the display case = Volume of small ball + Volume of free space
= 8 cubic inches + 208 cubic inches
= 216 cubic Inches
Step 2
How tall is the display case?
The display case is shaped like a square. Hence,
The length of the display case = cube root (Volume of the display case)
= cube root(216 cubic inches)
= 6 inches
Therefore, the length of the cubic display case = 6 inches
