Cube - examples
4 m long ladder touches the cube 1mx1m at the wall. How high reach on the wall?
- Cube 1-2-3
Calculate the volume and surface area of the cube ABCDEFGH if: a) /AB/ = 4 cm b) perimeter of wall ABCD is 22 cm c) the sum of the lengths of all edges of the cube is 30 cm.
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 91 dm.
- Transforming cuboid
Cuboid with dimensions 12 cm, 20 and 8 cm is converted into a cube with the same volume. What is its edge length?
From the cube of edge 52 cm was lathed maximum cylinder. What percentage of the cube is left as waste after lathed?
Cube, which consists of 27 small cubes with edge 3 dm has volume:
- 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?
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.
- 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?
- 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?
- 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?
Find the cuboid that has the same surface area as the volume.
The sum of lengths of cube edges is 22 cm. What is its surface and volume?