a storage room measures 11.35 feet in length by 9.5 feet in width by 8.3 feet in height. it contains a box which is 4.25 feet in length 6.5 feet in width and 4.0 feet in height.how many cubic feet of storage space are left in the room rounded to the nearest cubic foot
room: Vr = 11.35*9.5*8.3 = 894.9
box: Vb = 4.25*6.5*4.0 = 110.5
now, subtract and round.
To calculate the remaining storage space in the room, we need to find the volume of the storage room and subtract the volume of the box.
1. Calculate the volume of the storage room:
Volume = length * width * height
Volume = 11.35 ft * 9.5 ft * 8.3 ft
2. Calculate the volume of the box:
Volume = length * width * height
Volume = 4.25 ft * 6.5 ft * 4.0 ft
3. Subtract the volume of the box from the volume of the storage room to get the remaining storage space:
Remaining storage space = Volume of storage room - Volume of box
Therefore, the remaining storage space in the room can be calculated as follows:
Volume of storage room = 11.35 ft * 9.5 ft * 8.3 ft = 888.16225 cubic feet (rounded to the nearest cubic foot, this becomes 888 cubic feet)
Volume of box = 4.25 ft * 6.5 ft * 4.0 ft = 110 cubic feet
Remaining storage space = 888 cubic feet - 110 cubic feet = 778 cubic feet
Therefore, there are approximately 778 cubic feet of storage space left in the room.