SOLUTION: A cube of side length a is modified by cutting a cubic shape of side length b from one of it's corners. In addition a cylindrical hole is cut through the shape with a radius of siz

Question 1137216: A cube of side length a is modified by cutting a cubic shape of side length b from one of it's corners. In addition a cylindrical hole is cut through the shape with a radius of size c. If the value of a is 18.0, b is 1.2 and c is 5.0, what is the surface area of this shape? (Use 3.14 as the value of pi)
IMAGE:https://docs.google.com/document/d/1EuzKCVDRH2lBm-0rJ9iJf5z3u57SL8CGyFsLU8AQ7UM/edit?usp=sharing
Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!
If the value of

what is the surface area of this shape? (Use as the value of )

the surface area of this shape will be sum of:
faces of the cube side length of : (these faces have no cuts)
faces (upper and one on the left side of big cube) have cut of and area is:
face (front) has a cut of and circle, so area is:
and, add surface area of three faces of small cube side length :

or, since we have first deducted from three faces, then added same as faces of small cube, surface area is same as surface area of cube side length a minus area of the circle

RELATED QUESTIONS
A cube of side length a is modified by cutting a cubic shape of side length b from one of (answered by ikleyn)

A cube of side length a is modified by cutting a cubic shape of side length b from one of (answered by ikleyn)

A cube has a volume of 64-cubic inches. What�s the length of one side of the cube? (answered by stanbon)

A box in the shape of a cube has a volume of 64 cubic inches. what is the length of a... (answered by Alan3354)

In Little League, if a home plate is made by from a square by cutting 12-inch diagonal... (answered by macston)

From a square piece of cardboard, a box with an open top is made by cutting equal squares (answered by oberobic)

A card board box manufacturer wishes to make open boxes from square pieces of cardboard... (answered by josgarithmetic)

The formula for the volume of a cube is s3, where s is the length of one side.... (answered by Alan3354,ikleyn)

Side of a cube. Find the length of the side of a cubic box whose volume is 80 cubic... (answered by Fombitz)