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Solved Examples
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e   Tom has a cyclindrical wooden rod as shown below. Estimate the surface area of the rod.   e View Solution
e   Adam bought a cylindrical tank with a radius of 3.73 ft and a height of 6.79 ft. Find the approximate surface area of the tank.
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e   Henry buys a box of candies. The box has a square base with side 6.37 inches and a height of 7.1 inches. Find the approximate surface area of the box.
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e   What is the lateral area of a cube, if the area of each face of the cube is 16 ft2?   e View Solution
e   The curved surface area of a cylinder is 960 ft2 and its base has a diameter of 16 ft. What is the height of the cylinder? (Use π = 3.14)
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e   The base radius of a cylinder is r and its height is h. The radius of the cylinder is increased 4 times. What should be the height of the cylinder, if the lateral area remains the same?
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e   A 200 grams tin of popcorn is in the shape of a cylinder, with a radius of 3 in. and a height of 5 in. Find the area of paper required for labeling the complete curved surface.   e View Solution
e   What is the area of cardboard required to make a closed rectangular box of length 24 cm., width 16 cm. and height 8 cm.?   e View Solution
e   The volume of a cube is numerically equal to 3 times its surface area. Find the measure of its edge.   e View Solution
e   A closed iron tank, 12 m. long., 9 m. wide and 3 m. deep, is to be made. What should be the length of the iron sheet to be used, if its width is 3 m.?   e View Solution
e   Find the lateral area of a cylindrical box, whose height is 13 cm., and whose radius of the base is 10 cm. [Use π = 3.14]
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e   A map of a country is pasted on a cylindrical block. The circumference of the base of the block is 25 in. and its height is 15 in. What is the curved surface area of the cylinder?   e View Solution
e   A cylinder of height 14 ft, has a curved surface area of 439.60 ft2. What is the radius of the cylinder?
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e   The total surface area of a circular cylinder is 350.48 cm.2 and the radius of its base is 4 cm. What is the lateral area of the cylinder?[Use π = 3.14]
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e   Find the cost of painting the curved surface of a solid cylinder of diameter 8 m. and height 13 m., if it costs $20 to paint a square meter.   e View Solution
e   The length of a hall is 12 m. and its width is 6 m. The sum of the areas of the floor and the flat roof is equal to the sum of the areas of the four walls. What is the height of the hall?   e View Solution
e   The length and the width of a rectangular box are 3.5 ft and 2.5 ft respectively. Its total surface area is 65.50 ft2. What is the height of the box?   e View Solution
e   Two cubes, each with an edge of 35 cm., are joined to form a rectangular prism. What is the surface area of the rectangular prism formed?
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e   The surface area of a cube is 54 cm2. Find the length of each edge.   e View Solution
e   What is the area of cardboard required to make a closed rectangular box of length 30 cm., width 20 cm. and height 10 cm.?   e View Solution
e   What is the lateral area of a cube, if the area of each face of the cube is 81 cm2?   e View Solution
e   Three cubes, with each side measuring 4 in., are joined face to face to form a rectangular prism. Find the surface area of the rectangular prism formed. DDD View Solution
DDD The curved surface area of a cylinder is 1800 ft2 and its base has a diameter of 20 ft. What is the height of the cylinder? (Use π = 3.14)
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DDD The base radius of a cylinder is r and its height is h. The radius of the cylinder is increased 5 times. What should be the height of the cylinder, if the lateral area remains the same?
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DDD What is the lateral area of a cylinder, if the base radius is a units and the height is b units?
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DDD The figure shows a square prism with a smaller rectangular prism removed from it. What is the surface area of the square prism with the cavity in it? DDD View Solution
DDD A 400 grams tin of popcorn is in the shape of a cylinder, with a radius of 3 in. and a height of 7 in. Find the area of paper required for labeling the complete curved surface. DDD View Solution
DDD A closed iron tank, 8 m. long., 7 m. wide and 2 m. deep, is to be made. What should be the length of the iron sheet to be used, if its width is 2 m.? DDD View Solution
DDD The length and the width of a rectangular box are 2.5 ft and 1.5 ft respectively. Its total surface area is 31.50 ft2. What is the height of the box? DDD View Solution
DDD Find the cost of painting the curved surface of a solid cylinder of diameter 8 m. and height 11 m., if it costs $20 to paint a square meter. DDD View Solution
DDD What is the area of cardboard required to make a closed rectangular box of length 27 cm., width 18 cm. and height 9 cm.? DDD View Solution
DDD The length of a hall is 16 m. and its width is 8 m. The sum of the areas of the floor and the flat roof is equal to the sum of the areas of the four walls. What is the height of the hall? DDD View Solution
DDD The volume of a cube is numerically equal to 2 times its surface area. Find the measure of its edge. DDD View Solution
DDD Find the lateral area of a cylindrical box, whose height is 12 cm., and whose radius of the base is 7 cm. [Use π = 3.14]
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DDD What is the ratio of the surface area of the square prism to the surface area of the rectangular prism?
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DDD A map of a country is pasted on a cylindrical block. The circumference of the base of the block is 25 in. and its height is 12 in. What is the curved surface area of the cylinder? DDD View Solution
DDD A cylinder of height 12 ft, has a curved surface area of 226.08 ft2. What is the radius of the cylinder?
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DDD What is the ratio of the surface area of the cube to the surface area of the cylinder? [Use π = 3]
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DDD The total surface area of a circular cylinder is 225.12 cm.2 and the radius of its base is 2 cm. What is the lateral area of the cylinder?[Use π = 3.14]
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DDD Two cubes, each with an edge of 25 cm., are joined to form a rectangular prism. What is the surface area of the rectangular prism formed?
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DDD Find the surface area of the prism. DDD View Solution
DDD The figure shows a cube out of which a cylinder has been removed. What is the total surface area of the solid?
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DDD Find the surface area of the solid that can be formed using the net shown in the figure. DDD View Solution
DDD The surface area of a cube is 294 ft2. Find the length of each edge. DDD View Solution
DDD An oil tank is 42 ft tall with a diameter of 88 ft. What is its surface area ? Let π = 3.
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DDD Find the area of the aluminium sheet required to make a cylindrical can measuring a base diameter of 8 cm. and a height of 12 cm. Round the answer to the nearest ten. DDD View Solution
DDD The figure shows a rectangular prism with a cylinder which has been removed from it. What is the total surface area of the given solid? Round the answer to the nearest ten.
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DDD What is the surface area of the figure shown?
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DDD The radius and height of a cylinder are 2 ft and 5 ft respectively. Find the approximate surface area of the cylinder.
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DDD Estimate the surface area of the cylinder. DDD View Solution
DDD What is the lateral area of a cylindrical box whose height is 12 cm. and the radius of the base is 10 cm.? [Use π = 3.14] DDD View Solution