# Cube - examples

- Water block

A block with a 50 cm^{2}base is filled with water 5 cm under the edge. How many can sugar cubes with 2 cm edge be thrown into a container that overflow water? - Three cubes

The body was created by gluing three identical cubes. Its volume is 192 cm^{3.}What is its surface in dm^{2}? - Cube in a sphere

The cube is inscribed in a sphere with volume 6598 cm^{3.}Determine the length of the edges of a cube. - Cube diagonal

Determine length of the cube diagonal with edge 55 dm. - Cubes

One cube is inscribed sphere and the other one described. Calculate difference of volumes of cubes, if the difference of surfaces in 137 cm^{2.} - Transforming cuboid

Cuboid with dimensions 5 cm, 14 and 17 cm is converted into a cube with the same volume. What is its edge length? - Tereza

The cube has area of base 64 mm^{2.}Calculate the edge length, volume and area of its surface. - Prism

Right angle prism, whose base is right triangle with leg a = 3 cm and hypotenuse c = 5 cm has same volume as a cube with an edge length of 1 dm. a) Determine the height of the prism b) Calculate the surface of the prism c) What percentage of the cube' - Lathe

From the cube of edge 52 cm was lathed maximum cylinder. What percentage of the cube is left as waste after lathed? - Cube zoom

How many percent we increase volume and surface of cube, if we magnify its edge by 61%. - Cube

Calculate the surface cube with edge 29 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 259 cm. What is the length of one edge of the original cube? - Cube

The cube weighs 47 kg. How weight is cube of the same material, if its dimensions are 3-times smaller? - 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? - Hole

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? - Cubes

Cube, which consists of 27 small cubes with edge 3 dm has volume: - Lead cube

Calculate the edge of the cube made from lead, which weighs 11 kg. The density of lead is 11341 kg/m^{3.} - Cube wall

Surface of first cube wall his 361 cm^{2}. Second cube area is 30% of the surface of the first cube. Determine the length of the edge of the second cube (x). - Cube

The sum of lengths of cube edges is 22 cm. What is its surface and volume?

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