# Cube + body volume - 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. - 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 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? - Tereza

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

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? - Cubes

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/m^{3}. - Mouse Hryzka

Mouse Hryzka found 27 identical cubes of cheese. She first put in a large cube out of them and then waited for a while before the cheese cubes stuck together. Then from every wall of the big cube she will eats the middle cube. Then she also eats the cube - Cuboid

Find the cuboid that has the same surface area as the volume. - Volume from surface area

What is the volume of the cube whose surface area is 96 cm^{2}? - Center of the cube

Center of the cube has distance 33 cm from each vertex. Calculate the volume V and surface area S of the cube. - Cone in cube

The cube is inscribed cone. Determine the ratio of the volume of cone and cube. The ratio express as a decimal number and as percentage.

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