The volume of cube problems - page 18 of 19
Number of problems found: 369
- Iron sphere
Iron sphere weights 100 kg and density ρ = 7600 kg/m³. Calculate the volume, surface, and diameter of the sphere. - Prism X
The prism with the edges of the lengths x cm, 2x cm, and 3x cm has a volume 29478 cm³. What is the area of the surface of the prism? - Center of the cube
The Center of the cube has a distance 16 cm from each vertex. Calculate the volume V and surface area S of the cube. - Balls
Three metal balls with volumes V1=12 cm3, V2=112 cm3, and V3=59 cm³ were melted into one ball. Determine its surface area. - Rotary cone
The volume of the rotation of the cone is 733 cm³. The angle between the side of the cone and the base angle is 75°. Calculate the lateral surface area of this cone. - Tereza
The cube has an area of base 144 mm². Calculate the edge length, volume, and area of its surface. - Prism
A right-angled prism, whose base is a right triangle with leg a = 3 cm and hypotenuse c = 6 cm, has the same volume as a cube with an edge length of 1 dm. a) Find the height of the prism b) Calculate the surface of the prism c) What percentage of the cube
- Rotary cone
A rotary cone whose height is equal to the circumference of the base has a volume 229 cm³. Calculate the radius of the base circle and the height of the cone. - Lathe
From the cube of edge, 41 cm was a lathed maximum cylinder. What percentage of the cube is left as waste after being lathed? - Cube zoom
If we magnify the cube's edge by 47 %, how many percent does this increase the cube's volume and surface? - Cube in a sphere
The cube is inscribed in a sphere with a volume 8101 cm³. Determine the length of the edges of a cube. - Cubes
One cube is an inscribed sphere, and the other one is described. Calculate the difference of volumes of cubes if the difference of surfaces in 231 cm². - Hole
We will drill the cylinder shape hole in the cube's center with an edge 14 cm. The volume of the hole must be 27% of the cube. What should drill diameter be chosen? - Cubes
Cube, which consists of 8 small cubes with edge 1 dm, has volume: - Cone
The circular cone has height h = 15 dm and base radius r = 2 dm slice plane parallel to the base. Calculate the distance of the cone vertex from this plane if solids have the same volume.
- Cube
The cube weighs 11 kg. How weigh is a cube of the same material if its dimensions are 3-times smaller? - Cube corners
From the cube of edge 5 cm, we cut off all vertices so that each cutting plane intersects the edges 1 cm from the nearest vertice. How many edges will this body have? - Cube corners
Peter cut the wooden cube with edge 34 cm in 3 corners of the cube with edge 2 cm. How many cubes of edge 2 cm can Peter even be cut? - Shots
500 lead shots with diameter 4 mm are decanted into a ball. What is its diameter? - Special cube
Calculate the cube's edge if its surface and volume are numerically equal numbers.
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