Cube - examples
- Cube in sphere
The sphere is inscribed cube with edge 8 cm. Find the radius of the sphere.
- Concrete pedestal
The carpenters made wooden mold on a concrete pedestal in the shape of a cube with edge 2 meter long. What is the area in which the concrete touches wooden molds? (No lid or bottom)
Calculate the surface cube with edge 25 mm.
The cube has area of base 400 mm2. Calculate the edge length, volume and area of its surface.
- Cube diagonal
Determine length of the cube diagonal with edge 55 dm.
- Transforming cuboid
Cuboid with dimensions 10 cm, 9 and 17 cm is converted into a cube with the same volume. What is its edge length?
Cube, which consists of 27 small cubes with edge 3 dm has volume:
From the cube of edge 52 cm was lathed maximum cylinder. What percentage of the cube is left as waste after lathed?
- Cube wall
Surface of first cube wall his 361 cm2. Second cube area is 30% of the surface of the first cube. Determine the length of the edge of the second cube (x).
The cube weighs 18 kg. How weight is cube of the same material, if its dimensions are 3-times smaller?
- Volume from surface area
What is the volume of the cube whose surface area is 96 cm2?
- Soil pit
Workers dug a pit cube with edge 2.5 meters. How many cars shall remove soil if the car suddenly take 4m³ of soil?
In the center of the cube with edge 15 cm we will drill cylinder shape hole. Volume of the hole must be 28% of the cube. What drill diameter should be chosen?
- Special cube
Calculate the edge of cube, if its surface and its volume is numerically equal number.
- Cube corners
From cube of edge 8 cm cut off all vertices so that each cutting plane intersects the edges 2 cm from the nearest vertice. How many edges will have this body?
- Cube 6
Volume of the cube is 216 cm3, calculate its surface area.
Three cubes are glued into prism, sum of the lengths of all its edges is 259 cm. What is the length of one edge of the original cube?
Find the cuboid that has the same surface area as the volume.
- Cube in ball
Cube is inscribed into sphere of radius 136 mm. How many percent is the volume of cube of the volume of sphere?
- Cube volume
The cube has a surface of 384 cm2. Calculate its volume.