Number of problems found: 251
Three cubes are glued into a prism. The sum of the lengths of all its edges is 115 cm. What is the length of one edge of the original cube?
- Rotary cone
Rotary cone whose height is equal to the circumference of the base, has a volume 229 cm3. Calculate the radius of the base circle and height of the cone.
From the cube of edge, 37 cm was a lathed maximum cylinder. What percentage of the cube is left as waste after lathed?
- Cube zoom
How many percents do we increase the volume and surface of the cube if we magnify its edge by 38 %?
- Cube in a sphere
The cube is inscribed in a sphere with a volume 7253 cm3. Determine the length of the edges of a cube.
One cube is an inscribed sphere and the other one described. Calculate the difference of volumes of cubes, if the difference of surfaces in 257 mm2.
In the center of the cube with edge 14 cm we will drill cylinder shape hole. Volume of the hole must be 27% of the cube. What drill diameter should be chosen?
Cube, which consists of 8 small cubes with edge 3 dm has volume:
Surfaces of cubes, one of which has an edge of 48 cm shorter than the other, differ by 36288 dm2. Determine the length of the edges of this cubes.
Circular cone with height h = 29 dm and base radius r = 3 dm slice plane parallel to the base. Calculate the distance of the cone vertex from this plane, if solids have the same volume.
The cube weighs 11 kg. How weight is a cube of the same material if its dimensions are 3-times smaller?
- Cube corners
From the cube of edge 5 cm, cut off all vertices so that each cutting plane intersects the edges 1 cm from the nearest vertice. How many edges will have this body?
- Cube corners
The wooden cube with edge 64 cm was cut in 3 corners of cube with edge 4 cm. How many cubes of edge 4 cm can be even cut?
Number ?. Find the value of x.
Calculate the surface cube with edge 11 dm.
5500 lead shots with diameter 4 mm are decanted into a ball. What is its diameter?
Use law of square roots roots: ?
- Special cube
Calculate the edge of cube, if its surface and its volume is numerically equal number.
The sum of lengths of cube edges is 57 cm. What is its surface and volume?
- Transforming cuboid
Cuboid with dimensions 6 cm, 10, and 11 cm is converted into a cube with the same volume. What is its edge length?