Geometry - math word problems - page 77 of 162
Number of problems found: 3232
- Sides ratio
Calculate the circumference of a triangle with an area of 84 cm² if a:b:c = 10:17:21
- Cone
The circular cone of height 14 cm and volume 4396 cm³ is at one-third of the height (measured from the bottom) cut by a plane parallel to the base. Calculate the radius and circumference of the circular cut.
- Measures 23791
The volume of the block is 144 cm³. The base measures 3 cm and 4 cm. How big is the body diagonal?
- Pine wood
We cut a carved beam from a pine trunk 6 m long and 35 cm in diameter. The beam's cross-section is in the shape of a square, which has the greatest area. Calculate the length of the sides of a square. Calculate the volume of lumber in cubic meters.
- Hexagonal pyramid
The pyramid's base is a regular hexagon, which can be circumscribed in a circle with a radius of 1 meter. Calculate the volume of a pyramid 2.5 meters high.
- Cylindrical 71714
How many hectoliters of water are in a cylindrical water tank with a base diameter of 3 meters and a depth of 60 cm?
- Tetrahedron 46451
Calculate the surface of a regular tetrahedron if the length of the wall height v = 1 dm.
- Cross-section 35063
How many m² of sheet metal are needed to plat chimneys 4 m high with a rectangular cross-section measuring 2.5 m and 1.2 m?
- Diameter 30921
The road roller has a diameter of 1.2 m and a width of 1.8 m. How many square meters will the road level if it turns 20 times?
- Needed 27961
Can, height 9cm, r = 8cm. How much sheet is needed to make it?
- Quadrilateral 14093
The tent has the shape of a mantle of a regular quadrilateral pyramid with a base edge of 3.5 meters and a height of 2.4 meters. How many cubic meters of air does it contain?
- Determine 10561
The hollow nickel ball has an outer diameter of 0.4 meters and an inner diameter of 0.3 meters. If the nickel density is 9000 kg/m3, determine its weight.
- Perpendicular prism
Calculate the volume of the vertical prism if its height is 60.8 cm and the base is a rectangular triangle with 40.4 cm and 43 cm legs.
- Diameter 6032
The road roller is 2 m long and 1 m in diameter. How many square meters of road roll when it turns 15 times?
- Circumference 3370
Calculate the surface and volume of the rotating cone, whose base circumference is 125.6 cm and the side is 25 cm long.
- Cross-section 81879
The castle has a length of 4 m and a cross-section in the shape of a square whose side is 15 cm long. Eight such castles must be painted. One kilogram can is enough for 6 m² of coating. How many cans of paint should be bought?
- Diameter 43971
The lawn at the family house has an area of 3a. The family owns a 1.5 m wide garden roller, which is 1 m in diameter. How many times does the roller turn when rolling the whole lawn?
- The factory
The factory ordered 500 hexagonal steel bars in square sections with 25 mm sides. Suppose the steel density is 7,850 kg. m-3, how many cars with a load capacity of 3 tonnes will be needed to move the bars?
- Calculate 26991
How can you calculate the wall height of a pyramid when you know the base edge length is 28 mm and the body height is 42 mm?
- Hexagonal prism
Calculate the volume and surface of a regular hexagonal prism with the edge of the base a = 6 cm with the corresponding height v1 = 5.2cm and the height of the prism h = 1 dm.
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