The cube with side 2 is cut from the corner of rectangular prism with dimensions 4×3×5. Find the volume and total surface area of the new object.

The volume of new object is cubic units.

Total surface area of new object is square units.

Volume:

  First, we have to find the volume ,

  The given dimension is,

  Since, the volume of rectangular prism is,

  Now,

.   Since, by the given cube side is 

The volume of cube has same value of length,breadth and width.

  The volume of cube

  Then, the volume of cube

  Now,

  Volume of new object Volume of rectangular prism Volume of cube

  Hence, the volume of new object is cubic units.

Surface Area:

  The net of the rectangular prism,

        Area of  top is  

   Area of bottom is  

       Area of front is  

       Area of back is  

        Area of side is  

        Area of side is  

The sum of the area of faces is,

  Area of top Area of bottom

Thus the surface area is square units.