Cube practice problems - page 23 of 28
Number of problems found: 555
- Perpendicular 79804
A perpendicular hexagonal prism was created by machining a cube with an edge length of 8 cm. The base of the prism is created from the square wall of the original cube by separating 4 identical right triangles with overhangs of lengths 3cm and 4cm. The he - Measuring 2719
A butter cube with an edge 6.5 cm long is packed in a package measuring a = 28 cm, b = 15 cm. Calculate how many cm² the package is larger than the cube's surface. - Isosceles weight
A designer weight is made from a glass cube by cutting a three-sided prism with an isosceles triangle base that is right-angled and whose arm is half the length of the cube edge. What percentage of the cube is cut off when making the weight? - Cone
The circular cone has height h = 15 dm and base radius r = 2 dm slice plane parallel to the base. Calculate the distance of the cone vertex from this plane if solids have the same volume. - Sphere volume formula
If V=4/3 π r³, find the value of V when r = 7, the value of r when V=113 1/7 - A chest made
A chest in the shape of a cuboid made of sheet iron has dimensions of 24 m 0.8 m and 0.5 m. What will be the volume of a chest in the shape of a cube with the same surface area? - Cube edges
The cube has an edge of 4 cm. It has the same volume as a block, the base of which has an area of 32 cm². What height is the block? - The largest
We cut the largest possible cylinder from a 20 cm cube. What is the volume of this cylinder? - Approximately 44981
The largest Egyptian pyramid has the shape of a regular four-sided pyramid with a base edge of approximately 227 meters and a height of about 140 meters. How many tons of stone did the workers transport to build it? One cube of stone weighs 2500 kg and ne - Cube cut
The edge of the CC' guides the ABCDA'B'C'D'cube, a plane that divides the cube into two perpendicular four-sided and triangular prisms, whose volumes are 3:2. Determine which ratio the edge AB divides by this plane. - Difference 64924
We get a block if we stack two cubes with an edge of 1dm. What is the difference between the surfaces of this block and the cube? - Eight
Eight small Christmas balls with a radius of 1 cm have the same volume as one large Christmas ball. What has a bigger surface: eight small balls or one big ball? - Percentage 39373
A sphere is placed inside the 10 cm cube to touch all the cube's walls. What percentage of the volume of a cube makes up the volume of a sphere? - Cube 53
A cuboid with a volume of 60 cm³ has a base with dimensions of 3 cm and 5 cm. Calculate the height of the cuboid in centimeters. - Diameter 48211
What is the diameter of the ball (for men) if it weighs 7,250 g and ρ = 7.8g / cm³ - Iron sphere
Iron sphere weights 100 kg and density ρ = 7600 kg/m³. Calculate the volume, surface, and diameter of the sphere. - The height of prism
A right triangle forms the base of the vertical prism with perpendiculars 30 cm and 40 cm long. This prism has the same volume as a cube with an edge length of 3 dm. Find its height in cm. - The golf
The golf ball with a diameter of 43 mm is packed in a cube-shaped box. What percentage of the box volume is made up of a ball? - Deciliters - balls
We placed 10 layers of 100 balls with a diameter of 1 cm in a cube-shaped aquarium with an inner edge length of 10 cm. How many deciliters of water could still fit in the aquarium? - Circumscribed - sphere
A cube with a volume of 4096 cm³ is described and inscribed by a sphere. Calculate how many times the volume of the circumscribed sphere is greater than the inscribed sphere.
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