Geometry - math word problems - page 147 of 163
Number of problems found: 3251
- 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? - Triple density
How many times does the density of a steel pipe increase if we triple its length? - Ice cube weight
The sculptor composes an ice city from ice cubes. The cube with an edge length of 2 dm weighs 7.2 kg. How many kilograms is an ice cube with an edge length of 6 dm heavier than it? - Brass tube
The outer perimeter of the brass tube (ρ = 8.5 g/cm³) is 38 cm. Its mass is 5 kg, length 54 cm. What is the pipe wall thickness? - Block surface ratio
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. - 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? - Quadrilateral pyramid
The volume of a regular quadrilateral pyramid is 72 cm³. Its height is equal to the length of the base edge. Calculate the length of the base and the surface of the pyramid. - Slant surface
The surface of the rotating cone and its base area is in the ratio 18:5. Determine the volume of the cone if its body height is 12 cm. - Similarity
Rectangle ABCD has dimensions of 7 cm and 8 cm. Rectangle PQRS has dimensions 7 cm and 6 cm. Determine the coefficient of the similarity k of the rectangles; if they aren't similar, enter zero as the coefficient of similarity. - Logs
The trunk diameter is 52 cm. Is it possible to inscribe a square prism with a side 27 cm? - Iron bar weight
Calculate the weight of an iron bar 1.2 m long, whose cross-section is a trapezoid with dimensions a=10 cm c=8 cm and the distance between the bases v=6 cm. As we know, 1 cubic meter of iron weighs 7800 kg. - Air mass
What is the weight of the air in a classroom with dimensions 10 m × 3 m × 3 m? The air density is 1.293 kg/m³. - Hydrostatic pressure
At what depths does a hydrostatic compressive force of 3 kN act at a depth of 30 m in water? - Ratio of volumes
If the heights of two cylindrical drums are in the ratio 7:8 and their base radii are in the ratio 4:3. What is the ratio of their volumes? - Rope
How many meters of rope 10 mm thick will fit on the bobbin diameter of 200 mm and a length of 350 mm (the central mandrel has a diameter of 50 mm)? - Transforming cuboid
A cuboid with dimensions 6 cm, 10, and 11 cm is converted into a cube with the same volume. What is its edge length? - Cube edge ratio
The lengths of the edges of two cubes are in the ratio 1:2, determine: a) the ratio of the area of the wall of the smaller cube to the area of the wall of the larger cube. b) the ratio of the surface of the smaller cube to the surface of the larger cube. - Iron ball
Calculate the radius of an iron ball with a density of 7.8g/cm³ and a mass of 7kg. - Paper example creation
The teacher has 12 examples from geometry and 15 examples from arithmetic. How many papers can he create if he wants three examples from geometry and five from arithmetic in the letter? - Three-sided prism
Find the area of the largest wall of a three-sided prism, with a height of 4 dm and an edge length of 5 cm and 6 cm.
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