Final Answer:
The approximate area of the metal sheet, in square inches, after cutting three circles of the same size is 78.54 square inches.
Step-by-step explanation:
The area of a circle is given by the formula A_circle = πr^2, where r is the radius.
Since three circles are cut out, the total area of the circles is 3 times A_circle.
The radius is half the diameter, and if the circles are of the same size, they have the same diameter.
Subtract the total circle area from the rectangular sheet's area to find the remaining metal area.
Substitute values, use 3.14 for π, and round the answer to the nearest hundredth.
The approximate area of the metal sheet after cutting the circles is 78.54 square inches.