Geometry - math word problems - page 29 of 165
Number of problems found: 3289
- Cube corners
From the cube of edge 24 cm, we cut off all vertices so that each cutting plane intersects the edges 2 cm from the nearest vertice. How many edges will this body have? - The barrel
The barrel is 135 cm high. If we fill it to a height of 60 cm, it weighs 163 kg. If we fill it to a height of 80 cm, it weighs 213 kg. How many kilograms weigh a full and how many empty barrels? - Line proportion calculation
On line AB, 15 cm long, point C lies 4 cm from point A. In what proportion does this point divide the line AB? - General line equations
In all examples, write the GENERAL EQUATION OF a line that is given in some way. A) the line is given parametrically: x = - 4 + 2p, y = 2 - 3p B) the slope form gives the line: y = 3x - 1 C) the line is given by two points: A [3; -3], B [-5; 2] D) the lin - Two Sections
A sphere with a radius of 5 cm was divided into two spherical caps. The height of the smaller cap is 1 cm. Determine the volume of the smaller cap to the nearest hundredth of a cm³. - In an aquarium 3
In an aquarium 60 cm long and 30 cm wide, water is poured to a height of 25 cm. Determine the mass of the water in the aquarium. - Liquid - pouring
We need to pour the liquid from two cube-shaped containers into a single container. The original containers have edges of 0.7 m and 0.9 m. What will be the edge length of the combined cubic container? - A rectangular 7
A rectangular water tank has a square base of 90 cm on its side. If it is 300 cm high, how much water can it hold? - Aquarium - water
The aquarium is 5 dm long and 4 dm wide and contains 60 liters of water. A) calculate the height of the aquarium if the water reaches 5 cm below the edge B) calculate the total volume of the aquarium - Swimming pool 5
A rectangular inflatable swimming pool is 3 yards long, 2 5/8 yards wide, and 1 3/5 yards tall. What is the volume of the pool? Round the result to the nearest tenth. - Box metal
We make a box in the shape of a cube with an edge of 12 cm. How many cm² of sheet metal do we need to create a box if we do not make the lid? - Brass ball
What is the weight of a hollow brass ball, the outer diameter of which is 16 cm and the wall thickness is 2 cm, while the density of brass is ϱ = 8.5 g - Flower boxes
How many m² of 10 mm thick boards are needed to make 12 flower boxes? The boxes' dimensions are 180, 150, and 1500 mm. - Rain
Garden shape of a rectangle measuring 15 m and 20 m rained water up to 3 mm. How many liters of water rained in the garden? - Relationship - radius
Calculate the volume of the cylinder if the radius of the base is 3 cm, and the relationship between the radius of the base and the height of the cylinder is v = 3r - Aquarium volume
The aquarium has a cuboid shape and dimensions a = 0.3 m, b = 0.85 m, c =?, V = ?. What volume has a body if, after dipping into the aquarium water level rises by 28 mm? - Everything in soup
The pot with soup is shaped like a cylinder with a bottom diameter of 20 cm and a height of 24 cm. How many guests will we have enough soup for if the pot is filled to two-thirds of the height and 0.25 l of soup is calculated per person? (pay attention to - Granite Block Comparison
Calculate the surface area and volume of a large granite paving block with an edge length of 10 cm and a small cube with an edge length of 5 cm. Compare the results. - Aquarium fish water Peter has an aquarium at home in the shape of a cuboid with 6 x 3 dm bottom dimensions and a height of 4 dm. They filled the aquarium with water according to the seller's order, 5 cm below the edge. A) The maximum number of fish can be raised in it if 1 f
- A metal
A metal cylinder is inserted into the cube with a 20 cm edge so that the cylinder shell. Its two bases are in close contact with the cube's walls from the inside. How much water could be poured into the free space between the cube and the cylinder so that
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