Geometry - math word problems - page 22 of 162
Number of problems found: 3228
- Rainfall
The annual average rainfall in India was 26 461 mm in Cherrapunji in 1981. How many hectoliters of water fell on one square meter? Would you fit this amount of water into a cube of three meters?
- Runcated pyramid teapot
The 35 cm high teapot has the shape of a truncated pyramid with the length of the edge of the lower square base a=50 cm and the edges of the rectangular base b: 20 cm and c: 30 cm. How many liters of water will fit in the teapot?
- On a line
On a line p : 3 x - 4 y - 3 = 0, determine the point C equidistant from points A[4, 4] and B[7, 1].
- Find parameters
Find parameters of the circle in the plane - coordinates of center and radius: x²+(y-3)²=14
- Roof repair
To repair the roof, we need 15 pieces of boards 6 m long, 15 cm wide, and 25 mm thick. If 1 m³ of boards costs 500 euros, how many euros will we pay for all the boards?
- Dimensions 3929
An aquarium has 64 * 50 * 45cm dimensions and is filled 5cm below the edge. How many liters of water are in an aquarium? How many square meters are needed to produce an aquarium?
- Sand loading
The truck, with a load capacity of 7 tons, has a storage area of 4.5 m and 2.1 m. The weight of 1 m³ of wet sand is 2,000 kg. How high can we load the sand, so the car's load capacity is not exceeded?
- Dimensions 6263
The closed petrol tank is a cuboid with dimensions of 80cm, 30cm, and 20cm. The petrol level reaches 6cm below the upper edge of the tank. Determine the amount of gasoline in the tank in liters for all possible, stable positions of the tank.
- 1-meter-wide 6001
A 1-meter-wide sidewalk will be paved around the block-shaped pool in the garden. The dimensions of the bottom of the pool are 8.5 meters and 6 meters. The height of the pool walls is 2 meters. There are 86.7 m³ of water in the pool. How high did the wate
- Rectangular 4547
How many hours will a tank with a rectangular bottom with a capacity of 105.5 m² and a depth of 2 m be filled when 12 hl of water flows through the pipe in one hour?
- Cylindrical 28331
How many crowns will the paint cost to paint a cylindrical container (d = 4.2 m, h = 5.5 m) when about 5 m² of paint is painted from 1 kg of color, and 1 kg of paint costs 115 CZK?
- Concrete box
The concrete box with walls thick 6 cm has the following external dimensions: length 1.6 m, width 39 cm, and height 32 cm. How many liters of soil can fit if I fill it to the brim?
- 3d vector component
The vector u = (3.9, u3), and the length of the vector u is 12. What is, is u3?
- An architect
An architect is designing a house. He wants the bedroom to have the dimensions of 8 ft by 4 ft by 7 ft. The architect doubles all three dimensions to create the den. Does that mean the den will have double the volume of the bedroom? First, find the volume
- Calculate 45563
Calculate the weight of a wooden board 18 dm long, two dm wide, and 0.3 dm thick if you know that 1 m³ of wood weighs 660 kg.
- Dimensions 5143
Mr. Winter is building a fence from perforated brick elements in the shape of a cuboid with dimensions of 15 cm, 15 cm, and 20 cm. the fence will be 15 cm wide, 150 cm high, and 10 m long. The mortar space will occupy 0.25 m³. How many brick elements does
- Mike chose
Mike chose four identical cubes, three identical prisms, and two identical cylinders from the kit. The edge of the cube is 3 cm long. The prism has two dimensions, the same as the cube. Its third dimension is two times longer. The diameter of the base of
- Dort
The cube-shaped cube box has dimensions of 30 cm × 30 cm × 12 cm. How many CZK (Czech crowns) would it cost to be the biggest cake that would fit into the box when a 10 cm³ cake costs CZK 0.5? The cake has the same shape as the box.
- Three-quarters pool
How many liters of water are in a cube-shaped pool with dimensions equal to 3 whole six meters b equals one full 9 meters and a depth of one total 5 meters if it is filled to only three-quarters of its volume?
- Rain
The empty barrel with a radius of 8 dm and height of 1.2 m rain filled to 75% of its capacity. How many mm of water rained on the roof space of 75 m²
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