Solid geometry, stereometry - page 100 of 123
Number of problems found: 2442
- Groundwater
A rainwater collection tank has the shape of a prism with trapezoidal cross-section, with parallel sides a = 5 m and c = 7 m, which are 4 metres apart. The depth of the tank is 3 metres. How many hectolitres of water can it hold at most if 8% of its volum - What quantity
What volume of concrete should be ordered for the foundations of a rectangular family house with dimensions of 15 m × 12.6 m, using permanent formwork? The depth of the foundation formed by permanent formwork is set at 80 cm. The concrete used constitutes - Cube volume function
Express the volume of a cube as a function of its edge size. - Block Volume Surface Ratios
The volume of the block is 5760 cm³. For the dimensions of a given block, a: b = 4:3, b: c = 2:5 Calculate its surface. - Spheres in sphere
How many spheres with a radius of 15 cm can fit into the larger sphere with a radius of 150 cm? - Cone in cylinder
The cylinder is an inscribed cone. Find the ratio of the volume of the cone and cylinder. Please write the ratio as a decimal number and as a percentage. - Hexagon rotation
A regular hexagon of side 6 cm is rotated at 60° along a line passing through its longest diagonal. What is the volume of the figure thus generated? - Hectoliters - tank
A cylindrical tank with a base diameter of 1.2 m is supposed to hold 17 hectolitres of water. How many square metres of sheet metal are needed to make it, if 2% extra is added for joints and waste? - Calculation - hemisphere
The roof is shaped like a hemisphere with a diameter of 8 m. Calculate how much m² of roofing is needed to cover the entire top if we count 15% for waste and residues and round the result to tenths of m². Use the constant pi rounded to two decimal places - Hectoliters - reservoir
The reservoir has the shape of a sphere with a diameter of 10 m. How many hectoliters of water is in it when it is filled to 90%? How many kg of paint are needed for painting if it is painted twice, and 1 kg of paint is enough for 6 square meters? - Inscribed sphere
How much percent of the cube volume takes the sphere inscribed into it? - Cuboid 5
Calculate the mass of the cuboid with dimensions of 12 cm, 0.8 dm, and 100 mm made from spruce wood (density ρ = 550 kg/m³). - Soccer ball
Calculate how many soccer balls (the volume of one is 7,200 cm3) theoretically fit into a room with dimensions of 8x5x3 m. Neglect the gaps between the balls. - The ball
The ball has a radius of 2 m. What percentage of the surface and volume is another sphere whose radius is 20% larger? - House Insulation Cost
The Drapers inherited a cube-shaped house from their grandmother, which occupied 121 m² of land. They want to insulate the perimeter walls. How many euros will they pay for the material if 1 m² of material costs 11 euros and 15% of the facade area consist - Circumscribed - sphere
A cube with a volume of 4096 cm³ is described and inscribed by a sphere. Calculate how many times the volume of the circumscribed sphere is greater than the inscribed sphere. - Cube surface volume
How many percent will it increase a) surface b) cube volume if the edge of the cube increases by 25%? - Cuboid
The sum of the lengths of the three edges of the cuboid that originate from one vertex is 210 cm. The edge length ratio is 7:5:3. Calculate the length of the edges. - Gutter pipe material
How much sheet metal do we use to produce a gutter pipe in the shape of a hollow half-cylinder 20 m long and 16 cm wide if we count 8% for bending and welding? - Cardboard - boxes
The closed cardboard box has the shape of a block measuring 25 cm, 1.2 dm, and 0.5 m. How much cardboard is needed to make 20 such boxes? You need to add 5% to bends.
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