# Cube - problems

- 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? - Cubes into cuboid

How many 12 centimeter cubes fit into the block (cuboid) with 6dm, 8,4dm and 4,8? - Body diagonal - cube

Calculate the surface and cube volume with body diagonal 15 cm long. - Cube in a sphere

The cube is inscribed in a sphere with volume 5951 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.} - 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? - 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 30 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 8 small cubes with edge 1 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.}

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