Cube - examples
- Big cube
Calculate the surface of the cube, which is composed of 64 small cubes with an edge 1 cm long.
Cube is inscribed in the cube. Determine its volume if the edge of the cube is 10 cm long.
- Cube, cuboid, and sphere
Volumes of a cube and a cuboid are in ratio 3: 2. Volumes of sphere and cuboid are in ratio 1: 3. In what ratio are the volumes of cube, cuboid, and sphere?
- Inscribed sphere
How many percents of the cube volume takes the sphere inscribed into it?
- Cube in a sphere
The cube is inscribed in a sphere with volume 5951 cm3. Determine the length of the edges of a cube.
One cube is inscribed sphere and the other one described. Calculate difference of volumes of cubes, if the difference of surfaces in 254 cm2.
- Cube diagonal
Determine length of the cube diagonal with edge 33 km.
- Transforming cuboid
Cuboid with dimensions 10 cm, 17 and 17 cm is converted into a cube with the same volume. What is its edge length?
The cube has area of base 225 mm2. Calculate the edge length, volume and area of its surface.
Right angle prism, whose base is right triangle with leg a = 7 cm and hypotenuse c = 15 cm has same volume as a cube with an edge length of 3 dm. a) Determine the height of the prism b) Calculate the surface of the prism c) What percentage of the cube
- Cube zoom
How many percent we increase volume and surface of cube, if we magnify its edge by 38%.
From the cube of edge 37 cm was lathed maximum cylinder. What percentage of the cube is left as waste after lathed?
Calculate the surface cube with edge 11 dm.
- Cube - angles
Calculate angle between the wall diagonal and cube base. Calculate the angle between the cube body diagonal and cube base.
Three cubes are glued into prism, sum of the lengths of all its edges is 115 cm. What is the length of one edge of the original cube?
The cube weighs 24 kg. How weight is cube of the same material, if its dimensions are 2-times smaller?
- Cube in ball
Cube is inscribed into sphere of radius 241 cm. How many percent is the volume of cube of the volume of sphere?
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 27 small cubes with edge 4 dm has volume:
- Lead cube
Calculate the edge of the cube made from lead, which weighs 19 kg. The density of lead is 11341 kg/m3.