Michael is putting 12 boxes in a storage shed. each box is in the shape of a rectangular prism with dimensions 1.5 feet by 1.5 feet by 2 feet. if the storage shed has dimensions 6 feet by 10 feet by 8 feet, how much room will be left after michael stores the boxes?

Volume of room will be left after Michael stores the boxes 426 feet cube

Step-by-step explanation:

It is given that

Michael is putting 12 boxes in a storage shed.

Each box is in the shape of a rectangular prism with dimensions 1.5 feet by 1.5 feet by 2 feet.  

If the storage shed has dimensions 6 feet by 10 feet by 8 feet,

To find the volume of one box

Volume = 1.5 x 1.5 x 2= 4.5 feet cube

Volume of 12 such box = 4.5 x 12 =54 feet cube

To find the volume of shed

Volume of Shed = 6 x 10 x 8 =480

To find remaining portion of shed

Volume of room will be left after Michael stores the boxes      =volume of shed - volume of box

 =480 - 54 = 426 feet cube