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10-6.

A rectangular prism has a cylindrical hole removed, as shown below. If the radius of the cylindrical hole is inches, find the volume and total surface area of the solid.

A rectangular prism, labeled as follows: front bottom edge, 5 cm, right side bottom edge, 2 cm, right side back edge, labeled 6 cm.  A dashed cylinder, with solid, top circle, in center of top side, in center of prism.

Find the volume of the cube.

Find the volume of the cylinder within the cube.

Subtract the volume of the cylinder from the volume of the cube.

 in

Find the surface area of the cube.

Find the surface area of the cylinder.

Add the surface area of the cube and the lateral area of the cylinder, but subtract the area of the two holes (circles).

in