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Solved Examples
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eee Tom has a cyclindrical wooden rod as shown below. Estimate the surface area of the rod. eee View Solution
eee 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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eee 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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eee What is the lateral area of a cube, if the area of each face of the cube is 16 ft2? eee View Solution
eee 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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eee 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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eee 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. eee View Solution
eee What is the area of cardboard required to make a closed rectangular box of length 24 cm., width 16 cm. and height 8 cm.? eee View Solution
eee The volume of a cube is numerically equal to 3 times its surface area. Find the measure of its edge. eee View Solution
eee 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.? eee View Solution
eee 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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eee 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? eee View Solution
eee 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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eee 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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eee The surface area of a cube is 54 cm2. Find the length of each edge. eee View Solution
eee 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. eee View Solution
eee 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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eee 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? eee View Solution
eee 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? eee View Solution
eee What is the area of cardboard required to make a closed rectangular box of length 30 cm., width 20 cm. and height 10 cm.? eee View Solution
eee What is the lateral area of a cube, if the area of each face of the cube is 81 cm2? eee View Solution
eee 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. eee View Solution
eee 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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eee 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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eee 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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eee 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? eee View Solution
eee 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. eee View Solution
eee 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.? eee View Solution
eee 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? eee View Solution
eee 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. eee View Solution
eee What is the area of cardboard required to make a closed rectangular box of length 27 cm., width 18 cm. and height 9 cm.? eee View Solution
eee 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? eee View Solution
eee The volume of a cube is numerically equal to 2 times its surface area. Find the measure of its edge. eee View Solution
eee 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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eee 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? eee View Solution
eee 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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eee 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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eee What is the ratio of the surface area of the square prism to the surface area of the rectangular prism?
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eee 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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eee 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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eee 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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eee Find the surface area of the prism. eee View Solution
eee Find the surface area of the solid that can be formed using the net shown in the figure. eee View Solution
eee The surface area of a cube is 294 ft2. Find the length of each edge. eee View Solution
eee 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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eee 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. eee View Solution
eee 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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eee What is the surface area of the figure shown?
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eee 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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eee Estimate the surface area of the cylinder. eee View Solution
eee 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] eee View Solution