# Cube - examples

- Cube cut

In the ABCDA'B'C'D'cube, it is guided by the edge of the CC' a plane witch dividing the cube into two perpendicular four-sided and triangular prisms, whose volumes are 3:2. Determine in which ratio the edge AB is divided by this plane. - Perfect cubes

Suppose a number is chosen at random from the set (0,1,2,3,. .. ,202). What is the probability that the number is a perfect cube? - The volume 2

The volume of a cube is 27 cubic meters. Find the height of the cube. - Cube diagonals

Calculate the length of the side and the diagonals of the cube with a volume of 27 cm^{3}. - Area to volume

If the surface area of a cube is 486, find its volume. - Cube

The sum of all cube edges is 30cm. Find the surface area of the cube. - Cube in a sphere

The cube is inscribed in a sphere with volume 8818 cm^{3}. Determine the length of the edges of a cube. - Cubes

One cube is inscribed sphere and the other one described. Calculate difference of volumes of cubes, if the difference of surfaces in 254 cm^{2}. - Transforming cuboid

Cuboid with dimensions 8 cm, 13 and 16 cm is converted into a cube with the same volume. What is its edge length? - Cube diagonal

Determine length of the cube diagonal with edge 33 km. - Tereza

The cube has area of base 225 mm^{2}. Calculate the edge length, volume and area of its surface. - Prism

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%. - Lathe

From the cube of edge 37 cm was lathed maximum cylinder. What percentage of the cube is left as waste after lathed? - Cube

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. - Prism

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? - 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? - Hole

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?

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