Geometry - math word problems - page 108 of 162
Number of problems found: 3231
- Workers
Workers are digging a jump pit in the schoolyard. The pit is cuboid in shape, with a length of 5 m, a width of 20 dm, and a depth of 36 cm. They excavate 0.4 cubic meters of soil an hour. How much time (hours and minutes) is needed to excavate this pit?
- Dodecagon
Calculate the size of the smaller angles determined by lines A1 A4 and A2 A10 in the regular dodecagon A1A2A3. .. A12. Express the result in degrees.
- A Pile of salt
A Pile of salt has been stored in the shape of a cone. Mr. Terwilliker knows that the pile is 20 feet tall and 102 feet in circumference at the base. What area of the conical tarpaulin (a large sheet of material) is needed to cover the pile?
- Quadrilateral pyramid
In a regular quadrilateral pyramid, the length of the base edge is a = 8 cm, and the length of the side edge is h = 17 cm. Calculate the surface of the pyramid.
- Total area
Calculate the total area (surface and bases) of a prism whose base is a rhombus with 12cm and 18cm diagonals and whose prism height is 10 cm.
- Cutting the prism
A prism with a square base with an area of 1 cm² and a height of 3 cm was cut from a cube with an edge length of 3 cm. What is the body's surface formed from the cube after cutting the prism?
- Cube into cylinder
If we dip a wooden cube into a barrel with a 40cm radius, the water will rise 10 cm. What is the size of the cube edge?
- Tereza
The cube has an area of base 144 mm². Calculate the edge length, volume, and area of its surface.
- Calculation 43211
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
- Cylinder - V,r,h
What is the volume of a cylinder with a radius of 11.3 cm and a height of 28 cm?
- The cylinder 5
The base of the cylinder is 20 dm in diameter and a height of 18dm. Find its surface area.
- Diameter 33361
The roof of the castle tower has the shape of a cone with a base diameter of 12 m and a height of 8 m. How many euros will we pay to cover the roof if 1m of square roofing costs 3.5 euros?
- Cube edges
The cube has an edge of 4 cm. It has the same volume as a block, the base of which has an area of 32 cm². What height is the block?
- Millimeter 24231
Calculate the length of the wall diagonal of a cube with a volume of 7.40 square meters. Express the result to the nearest millimeter.
- Three-walled 8272
I have only entered the height of a regular three-walled pyramid h = 10 cm. How do I calculate its edge length?
- Calculate 83431
In triangle ABC, the size of the exterior angle at vertex C is equal to 126°. The size of the internal angles at vertices A and B are in the ratio 5: 9. Calculate the size of the internal angles α, β, γ of triangle ABC.
- Volume 81001
The volume of the cuboid is 3/25 m³. The base area is 6/25 m². What is its height?
- Ballistic curve
The soldier fired the ballistic grenade at a 45° angle. The first half ascended, and the second fell. How far and height did it reach if his average speed was 1200 km/h, and what 12 seconds were taken from the shot to impact?
- Circumference of edges
The hexagon pyramid has a circumference of 120 cm, and the length of the side edge is 25 cm. Calculate its volume.
- Diameter of a cylinder
The diameter of the cylinder is 42 cm. How many times does the cylinder turn on a 66 meters long track?
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