Solid geometry, stereometry - page 99 of 121
Number of problems found: 2409
- 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? - Cube Edge from Volume
Find the length of the cube's edge and its volume is equal to 60% of the volume of a block measuring 7 cm, 8 cm, and 6 cm. - Cube edge
Determine the length of the cube's edge, the volume of which is equal to 60% of the volume of a block measuring 7cm, 8cm, and 6cm. - Cross-sections of a cone
Cone with base radius 15 cm and height 20 cm divided by parallel planes to base into three bodies. The planes divide the height of the cone into three equal parts. Determine the volume ratio of the maximum and minimum of the resulting body. - 2x cone
Circular cone height 36 cm was cut plane parallel with the base. The volume of these two small cones is the same. Calculate the height of the smaller cone. - A bus 3
A bus has a petrol tank in the shape of a cylinder. The cylinder is 125 cm long and has a diameter of 42 cm. (i) How much will a full tank of petrol cost at the rate of 5.23 per liter? (ii) If the bus uses petrol at 12.5 liters for every 50 km, how far ca - Cuboid
How many times will the volume of a cuboid increase if one dimension is twice larger, the second dimension three times larger, and the third dimension four times lower? - Hectoliters - tank
A cylindrical tank with a base diameter of 1.2 m is supposed to hold 17 hectoliters of water. How many square meters of sheet metal are needed to make it? We calculate if 2% of the surfaces are 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? - House Insulation Cost
The Drábekovs 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 he pay for the material if 1 m² of material costs 11 euros and 15% of the facade area consist - Cuboid and ratio
A cuboid has a volume of 810 cm³. The lengths of edges from the same vertex are in a ratio of 2:3:5. Find the dimensions of a cuboid. - What quantity
What quantity of concrete should be ordered for concreting 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 80% of - 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. - Box wrapping paper
Mother and daughter Susan are wrapping presents for father. Maťko has a cube-shaped box with dimensions of 9 cm, 3 cm, and 7 cm, and Zuzka has a box in the shape of a cube with an edge length of 3 cm. How many square cm of wrapping paper will they use in - Candle wax wick
A pyramidal candle with a square base has a side edge of s = 12 cm and a base edge of 4 cm. How much wax will we need to make it, and how long is the wick if it is 5% bigger than its height? - 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? - Aluminum wire
Aluminum wire of 3 mm diameter has a total weight of 1909 kg and a density of 2700 kg/m³. How long is the wire bundle? - The ball
The ball has a radius of 2m. What percentage of the surface and volume is another sphere whose radius is 20% larger?
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