Geometry - math word problems - page 56 of 165
Number of problems found: 3289
- Diameter = height
The cylinder's surface, the height of which is equal to the diameter of the base, is 4239 cm square. Calculate the cylinder volume. - Truncated cone and sphere
A sphere is inscribed in a truncated cone with base diameters D1=10 cm and D2=20 cm, touching both bases and the surface. What is its diameter? - Sphere radius calculation
Calculate the radius of a sphere with a volume of 6.2 dm3, round to the nearest centimeter. - Cube edge
The cube has a surface area of 110.6 cm². Calculate the length of its edge. - Parametric equation
Find the parametric equation of a line with y-intercept (0,-4) and a slope of -2. - Line segment
Divide a 15 cm line segment into two parts so that their lengths are in a ratio of 2:1. What is the length of each part? - Courtyard oak bricks
The castle courtyard, with an area of 100 m², is paved with oak cubes with an edge of 8 cm. Approximately 164 bricks were used to pave m². One dm³ of oak wood weighs 0.8 kg. Calculate the weight of all the bricks used to pave the courtyard. - Wooden prism
Find the mass of a regular triangular prism made of oak, whose height equals the perimeter of its equilateral triangular base, and whose base is inscribed in a circle with radius 6.M cm (where M is the month of your birth). The density of oak is 680 kg/m³ - Barrel painting calculation
The water barrel, 90 cm high and 60 cm wide, has no lid (upper base). How much paint do we need to paint the barrel from the outside? If 1 kg of paint is enough for 8 m². - Quadrilateral pyramid
Calculate the volume of a regular quadrilateral pyramid, given: 1) a = 3.5 m; v1 = 24 dm Express the volume in m³ and round to 1 decimal place 2) a = 1.6 dm; v2 = 295 mm Calculate the volume in cm³ and round to 1 decimal place Solution entry: 1) entry 2) - Classic tent
The tent is shaped like a triangular prism. The front and rear walls are isosceles triangles with a height of 18 dm and arms 19.5 dm long. It is 1.5 m wide and 2 m long. How many square meters of fabric are needed to make a tent? How much air is in it? - Column covering
At the foot of the house are three columns with a square base 2.5 m high and 6 dm thick. How much do we pay if we want to cover them with boards and the company charges 12 euros per 1 square meter? - Pool filling
How many hours will a block-shaped pool measuring 24 m, 12 m, and 1.8 m be filled if it flows through a 9 cm diameter pipe at a speed of 2.5 m/s? - Water tank
A cuboid-shaped water tank has a base measuring 7.5 metres by 3 metres. How high will the water reach if 10 litres of water flow in per second and the inlet is open for 5/6 of an hour? (Round the result to one decimal place and express it in metres.) - At the butcher's
The cold storage room at the butcher's has dimensions 4x3 m, a height of 2.5 m, and a door measuring 90x200 cm. The walls will be tiled up to the ceiling, but before that they need to be treated with two layers of primer and one layer of anti-mould coatin - Length = 3 width
The length of a cuboid is thrice its width. The height and volume of the cuboid measure 4 cm and 300 cubic cm, respectively. What is the length of this cuboid? - Cube weight comparison
The cube weighs 32 kg. How much kg does a cube made of the same material, which has an edge four times shorter, weigh? - Length of the edge
Find the length of the edge of a cube with a cm² surface and a volume in cm³ expressed by the same number. - Cylinder surface calculation
The area of the cylinder shell is 300 cm², the height of which is equal to the diameter of the base. Find the surface of the cylinder. - Cube surface and volume
The surface of the cube is 500 cm². How much cm³ will its volume be?
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