# Surface area - high school - practice problems

#### Number of problems found: 178

- The surface

The surface of the cylinder is 1570 cm^{2}, its height is 15 cm. Find its volume and radius of the base. - The surface

The surface of a truncated rotating cone with side s = 13 cm is S = 510π cm². Find the radii of the bases when their difference in lengths is 10cm. - The cylinder

In a rotating cylinder it is given: the surface of the shell (without bases) S = 96 cm² and the volume V = 192 cm cubic. Calculate the radius and height of this cylinder. - Rotary cylinder

In the rotary cylinder it is given: surface S = 96 cm² and volume V = 192 cm cubic. Calculate its radius and height. - Hard cone problem

The surface of the cone is 200 cm², its height is 7 centimeters. Calculate the volume of this cone. - Flower boxes

How many m² of 10mm thick boards are needed to make 12 flower boxes? The dimensions of the box are 180,150 and 1500 mm. - Shell area cy

The cylinder has a shell content of 300 cm square, while the height of the cylinder is 12 cm. Calculate the volume of this cylinder. - The cylinder

The cylinder has a surface area of 300 square meters, while the cylinder's height is 12 m. Calculate the volume of this cylinder. - Metal sheets

How much metal sheet is needed to produce 8 gutters 4 m long and 12 cm in diameter? During production, joints calculate at 3% of total consumption. - Magnified cube

If the lengths of the cube's edges are extended by 5 cm, its volume will increase by 485 cm³. Determine the surface of both the original and the magnified cube. - The ball

The ball has a radius of 2m. What percentage of the surface and volume is another sphere whose radius is 20% larger? - Pool

How many hl of water is in a cuboid pool (a = 25m, b = 8m) if the area of the wetted walls is 279.2 m²? - Two cubes

The surfaces of two cubes, one of which has an edge of 22 cm longer than the second are differ by 19272 cm². Calculate the edge length of both cubes. - Sphere radius

The radius of the sphere we reduce by 1/3 of the original radius. How much percent does the volume and surface of the sphere change? - Gravitation

From the top of the 80m high tower, the body is thrown horizontally with an initial speed of 15 m/s. At what time and at what distance from the foot of the tower does the body hit the horizontal surface of the Earth? (use g = 10 ms-2) - The observatory

The dome of the hemisphere-shaped observatory is 5.4 meters high. How many square meters of sheet metal needs to be covered to cover it, and 15 percent must be added to the minimum amount due to joints and waste? - Calculate 3

Calculate the cube volume whose edge is 3x-1,3x-1,3x-1 - Tropical, mild and arctic

How many percent of the Earth's surface lies in the tropical, mild, and arctic range? The border between the ranges is the parallel 23°27' and 66°33'. - Cylindrical container

An open-topped cylindrical container has a volume of V = 3140 cm³. Find the cylinder dimensions (radius of base r, height v) so that the least material is needed to form the container. - Cuboid walls

Calculate the cuboid volume if its different walls have an area of 195cm², 135cm², and 117cm².

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Examples for the calculation of the surface area of the solid object . Examples for secondary school students.