SOLUTION: a hole with a diameter of 3.5 cm is drilled through a square metal nut of thickness 4 cm and length 6 cm. what is the surface area

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Question 1135322: a hole with a diameter of 3.5 cm is drilled through a square metal nut of thickness 4 cm and length 6 cm. what is the surface area
Answer by greenestamps(13200)   (Show Source): You can put this solution on YOUR website!


(1) Four sides of the original square nut, each 4cm by 6cm;
(2) The top and bottom of the original nut, with the hole drilled out -- 6cm by 6cm, minus the area of the circle with diameter 3.5cm (radius 1.75cm); and
(3) The lateral surface area of the cylindrical hole, with radius 1.75cm and height 4cm.

Use your basic area formulas and add the pieces to get the total surface area.

rectangle: length times width
circle: pi times radius squared
cylinder lateral surface: 2pi times radius times height

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