He small ball inside the cubed display case has a volume of 8 cubic inches. If the free space inside the display case is 208 cubic inches, then how tall is the display case? 6 inches
8 inches
10 inches
9 inches

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

If the free space inside the display case is 208 cubic inches, then the display case is 6inches tall.

here the number -5 is all of the following except a rational number.

step-by-step explanation:

the entire expression should be subtracted from 30. to subtract the quantity, distribute the negative sign, which changes the signs on the terms. so, the –2 changes to positive and gets added to 30 instead of subtracted from it.

hope this ! ^w^