A storage area measures 15.6 feet by 10.2 feet by 8.5 feet. If it is 1/3 full, how many cubic feet of storage space remains (rounded to the nearest cubic foot)?
2/3 (15.6 * 10.2 * 8.5) = ?
1476.75 cubic ft
To find out how many cubic feet of storage space remains, we first need to calculate the total volume of the storage area and then subtract the volume that is already filled.
The formula to calculate the volume of a rectangular prism is:
Volume = Length × Width × Height
Given:
Length = 15.6 feet
Width = 10.2 feet
Height = 8.5 feet
To calculate the total volume of the storage area, we use the formula as follows:
Total Volume = 15.6 feet × 10.2 feet × 8.5 feet
Total Volume = 1,280.8 cubic feet
Now, we need to find out the volume that is already filled. We are told that the storage area is 1/3 full. Since 1/3 of the storage area is filled, we can calculate the filled volume as follows:
Filled Volume = (1/3) × Total Volume
Filled Volume = (1/3) × 1,280.8 cubic feet
Filled Volume = 426.93333... cubic feet (approximately)
Now, to find the remaining volume, we subtract the filled volume from the total volume:
Remaining Volume = Total Volume - Filled Volume
Remaining Volume = 1,280.8 cubic feet - 426.93333... cubic feet
Remaining Volume = 853.8666... cubic feet (approximately)
Rounded to the nearest cubic foot, the remaining volume of storage space is 854 cubic feet.