The formula for the volume is:
Volume = Length • Height • Width
The original shed has a volume of 800 cubic feet because:
Volume: 8 • 10 • 10 = 800 cubic feet
If you divide the dimensions by half you are left with:
Length: 4 feet
Height: 5 feet
Width: 5 feet
If you plug these new values into the formula for volume:
Volume: 4 • 5 • 5 = 100 cubic feet
The new storage shed will be 1/8 the volume of the original shed because the original shed has a volume 8 times larger than the new shed
Answer: 1/8