Solid geometry, stereometry - page 64 of 123
Number of problems found: 2442
- Pharaoh
Kleomurapi is a pharaoh. Yesterday, his pyramid builders complained that their backs hurt from lifting stones. So the pharaoh had a ramp built that was 6 metres long, 2 metres wide, and 1.5 metres high to make it easier for the builders to reach the secon - Honeycomb Cell Volume
A honeycomb is made up of cells that resemble a regular hexagonal prism, with a base edge length of 3 mm and a corresponding height of 2.6 mm. The height of the prism is 12 mm. a) How many liters of honey are there in the whole comb if the comb consists o - Plastic pipe
Calculate the plastic pipe's weight with diameter d = 100 mm and length 330 cm if the wall thickness is 4 mm and the density of plastic is 1346 kg/m³. - Diameter 132
The base diameter of a cylinder is 2 m and its total surface area is 34.54 m². Calculate the base radius, height, and volume of the cylinder. - Garden 3
A garden pool in the shape of a cylinder with a base diameter of 300 cm contains 25 hectolitres of water. How deep is it if the water level is 10 cm below the rim of the pool? - Prism base volume
A three-sided prism with a base in the shape of an equilateral triangle has a volume of 370 dm³. What is the volume of its base if it is 50 cm high? - Pyramid height volume
A regular four-sided pyramid has a volume of 2,160 liters and a base edge length of 12 dm. Calculate the height of the needle (sketch, calculation, answer). - Regular quadrilateral pyramid
Find the surface area of a regular quadrilateral pyramid if for its volume V and body height v and the base edge, a applies: V = 2.8 m³, v = 2.1 m - Surveyors
Surveyors mark 4 points on the globe's surface so their distances are the same. What is their distance from each other? - Surface of the cone
Calculate the cone's surface if its height is 8 cm and the volume is 301.44 cm³. - Cylinder height calculation
Calculate the height of the cylinder if d = 1.6 dm and V = 489 cm³. - Pile of sand
A large pile of sand has been dumped into a conical pile in a warehouse. The slant height of the pile is 20 feet. The diameter of the base of the sandpile is 31 feet. Find the volume of the pile of sand. - Height as diameter of base
The rotary cylinder has a height equal to the base diameter and a surface of 471 cm². Calculate the volume of a cylinder. - The Scout Tent
The Scout Tent has a rectangular wooden underlay with 220 cm and 150 cm dimensions. How much canvas is needed for a 170 cm high pyramid roof? - Cube wall
Calculate the cube's diagonal if you know that one wall's surface equals 36 centimeters square. Please also calculate its volume. - Cuboid height
What is the cuboid's height if its base edges are 15 cm and 4 cm long and its volume is 420 cm³? - Quadrangular prism
The quadrilateral prism has a volume of 648 cm³. The trapezoid, which is its base, has the dimensions a = 10 cm, c = 5, and height v = 6 cm. What is the height of the prism? - Block measurements
The block ABCDEFGH is given, / AB / = 3.5 cm, / BC / = 4.1 cm, and the circumference of the BCGF wall is 12.4 cm. Calculate the block's area and volume. - Triangular pyramid
A perpendicular regular triangular pyramid is given: base side a = 5 cm, height v = 8 cm, volume V = 28.8 cm³. What is its area (surface area)? - Equilateral shell The glass weight has the shape of a regular four-sided pyramid with a base edge of 10 cm. The shell walls are equilateral triangles. What is the weight in grams of the paperweight if the density of the glass is 2500 kg/m³?
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