A storage room measures 14.25 feet in length by 12.5 feet in width by 8.4 feet in height. It contains a box which is 2.5 feet in length, 5.2 feet in width and 1.5 feet in height . How many cubic feet of storage space are left in the room (rounded to the nearest cubic foot)?
(14.25 * 12.5 * 8.4) - (2.5 * 5.2 * 1.5) = ______ cubic feet
To find how many cubic feet of storage space are left in the room, we need to calculate the volume of the room and subtract the volume of the box.
The volume of the room can be found by multiplying its length, width, and height together:
Volume of the room = length * width * height
= 14.25 ft * 12.5 ft * 8.4 ft
= 1425 ft^3
Next, let's calculate the volume of the box:
Volume of the box = length * width * height
= 2.5 ft * 5.2 ft * 1.5 ft
= 19.5 ft^3
Finally, subtract the volume of the box from the volume of the room to find the remaining storage space:
Remaining storage space = Volume of the room - Volume of the box
= 1425 ft^3 - 19.5 ft^3
= 1405.5 ft^3
Therefore, there are approximately 1406 cubic feet of storage space left in the room.