Geometry - math word problems - page 21 of 165
Number of problems found: 3289
- Container
The container has a cylindrical shape, the base diameter is 0.8 m, and the area of the base is equal to the area of the wall. How many liters of water can we pour into the container? - 3d vector component
The vector u = (3.9, u3), and the length of the vector u is 12. What is, is u3? - Four-fifths of the pool
The rectangular pool, with bottom dimensions of 12 m and 25m, is 200 cm deep. The first faucet flows 2.4 hl per minute and the second 6 l per 1 second. How long will it take for the pool to be filled to four-fifths of its height? - Wire weight
The customer wants to buy 300 meters of wire with d = 4 mm. An experienced salesman knows that 100 meters of wire are about 10 kilograms, so he weighs 30 kilograms of wire. Find out how many meters of wire are in a bundle of wire weighing 30 kilograms (or - Pump water tank
The pressure pump delivers two cubic meters of water to the block-shaped water tank in 1 minute. The tank has a 7 m and a width of 5 meters. How much water does it draw in 1 hour? How high does the water reach in the tank? - Inspector and fare-dodging
Jirka rode as a fare-dodger and was caught by the inspector. He was supposed to pay 1 500 Kč, but at first he did not have money and then he forgot about it. If he does not pay on time, for each day of delay he will be charged a penalty amounting to 0.5‰ - Calculate 6
Calculate the distance of point A[0, 2] from a line passing through points B[9, 5] and C[1, -1]. - Find parameters
Find parameters of the circle in the plane - coordinates of center and radius: x²+(y-3)²=14 - The water tank
A spherical water tank has a radius of 2 m. How many litres of water can it hold? How many kilograms of paint are needed to paint the tank if 1 kg of paint covers 10 m²? - Filling Pool to Height
The pool is 15m wide and 40m long and should be filled with water to a height of 2.5m. The water flows at a rate of 400 hl per hour. How many hours will the pool be filled to the required height? - Triangle height vertices
Calculate the height of side b (v_b) of triangle ABC with vertices A[4;1;3] B[2;3;3] and C[1;1;3]. - Puzzle wood density
The picture puzzle made of wooden cubes weighs 0.792 kg. One cube has an edge length of 4 cm and a weight of 33 grams. Find out how many cubes make up a puzzle and calculate the wood density in kg/m³. - Pool filling
In how many hours approximately we will fill the pool 3.66x0.91 (water height 71 cm) with a hose 1/2 from the valve from the water distribution from the well where there is enough water, a quality pump, and a water supply made through pipes in the cottage - Empty aquarium
How much does an empty aquarium weigh with dimensions: length = 40 cm, width = 30 cm, height = 20 cm, if 1 dm² of glass weighs 300 g? Calculate its weight in kilograms. - Aquarium
Find how many dm² of glass we need to make a block-shaped aquarium (the top is not covered) if the dimensions are to be a width of 50 cm, length of 120 cm, and height of 8.5 dm. - Children's pool
The children's pool at the swimming pool is 10m long, 5m wide, and 50cm deep. Calculate: (a) how many m² of tiles are needed to line the perimeter walls of the pool? (b) how many hectoliters of water will fit into the pool? - Pool pipe filling
A block-shaped pool with bottom dimensions of 12 m and 20 m and a depth of 2 m is filled with two pipes. The first pipe flows 6 l of water per second, the second 2.4 hl per minute. How many hours and minutes will the pool be filled 40 cm below the edge? - Iron pipe weight
The iron pipe has a length of 2m and a diameter of 4cm. If the density of iron is 7870 kg/m3, calculate its weight. - Circle line intersection
Calculate the sum of the x-coordinates of the intersections of the circle given by the equation (x - 1)²+ y² = 1 and the line given parametrically x = t, y = t , where t∈R. - Equal distance
Find the equation for all the points (x, y) that are equal in distance from points A(5,-2) and B(-2,10).
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