Geometry - math word problems - page 137 of 157
Number of problems found: 3137
- The coil
How many ropes (a diameter of 8 mm) fit on the coil (threads are wrapped close together)? The coil has the following dimensions: The inner diameter is 400mm. The outside diameter is 800mm. The length of the coil is 470mm.
- MO - triangles
On the AB and AC sides of the ABC triangle lies successive points E and F, and on segment EF lie point D. The EF and BC lines are parallel. It is true this ratio FD:DE = AE:EB = 2:1. The area of the ABC triangle is 27 hectares, and line segments EF, AD, a
- Circumscribed iso triangle
Construct an isosceles triangle if a given circle circumscribed with a radius r = 2.6 cm is given.
- Equilateral 35073
Draw an equilateral triangle ABC with a side of 8.5 cm. Assemble all the mines and measure them. What is the difference between the longest and the shortest of them?
- Different 3137
Mark 4 different points O, P, R. S. Mark of line OP, OR, OS. Measure the marked lines.
- The concrete basement
The concrete base has a square base a = 90 cm and is 0.2 m high. How many kg of concrete did we use to build it if the concrete density is ρ=2200 kg/m³?
- Pool model
The 1:500 scale pool model has internal dimensions of 15 cm, 10 cm, and 2.5 mm. Calculate how many hectoliters of water will be needed to fill a pool that will build according to this model.
- Area and percents
Find what percentage is a smaller cube surface when the wall's surface area decreases by 25%.
- Density 20093
What is the weight of a wooden board 1.8 m long, 70 cm wide, and 5 cm high? The density of wood is p = 450 kg/cubic meter.
- Compressive 18853
The granite cube with an edge length of 1 dm and a weight of 2.5 kg is immersed in a container with water. How much buoyancy makes it lighter? How much compressive force does the cube exert on the bottom of the container?
- Metal balls
Four metal balls with a diameter of 5 cm are placed in a measuring cylinder with an inner diameter of 10 cm. What is the smallest water volume to be poured into the cylinder so that all balls are below the water level?
- Alien ship
The alien ship has the shape of a sphere with a radius of r = 3000m, and its crew needs the ship to carry the collected research material in a cuboid box with a square base. Determine the length of the base and (and height h) so that the box has the large
- Calculate 81936
The volume of the block is 7,500 dm³. The lengths of the edges are in the ratio 3: 4: 5. Calculate the surface area of the cuboid.
- Maximum of volume
The shell of the cone is formed by winding a circular section with a radius of 1. For what central angle of a given circular section will the volume of the resulting cone be maximum?
- Sphere and cone
Within the sphere of radius G = 33 cm, inscribe the cone with the largest volume. What is that volume, and what are the dimensions of the cone?
- Truncated cone
Calculate the height of the rotating truncated cone with volume V = 1354 cm³ and a base radii r1 = 9.1 cm and r2 = 5.4 cm.
- Similarity 30821
There is a given square ABCD with a = 5.3cm. If the similarity ratio k = 3 cm, determine the side size of a similar square. Then, calculate the area and perimeter of the magnified square.
- Construct 80719
Construct a rectangle ABCD if a = 8cm and the length of the diagonal AC is 13cm. Measure the length of the sides of the rectangle.
- Triangle 67504
Sestroj triangle HOP, if o = 6 cm, h = 8 cm and | PHO | = 90 °
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