Solid geometry + cube - practice problems - page 10 of 24
Number of problems found: 476
- Tetrahedral prism
The height of a regular tetrahedral prism is three times greater than the length of the base edge. Calculate the length of the base edge if you know that the prism volume is 2187 cm³. - Volumes 7252
The block and the cube have the same volumes of 512 cm3, and the block has edge lengths of b = 6.4 cm and c = 10 cm. Can a cube and a block have the same edge length? - Three cubes
Two cube-shaped boxes with edges a = 70 cm; b = 90 cm must be replaced by one cube-shaped box. What will be its edge? - Eight
Eight small Christmas balls with a radius of 1 cm have the same volume as one large Christmas ball. What has a bigger surface: eight small balls or one big ball? - Cuboid edges in ratio
Cuboid edge lengths are in ratio 2:4:6. Calculate their lengths if you know that the cuboid volume is 24576 cm³. - Iron sphere
Iron sphere has weight 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? - Calculate 78514
The block has a length of 12 cm and a width of 0.6 dm. The height is the same size as the edge of a cube whose volume is 64cm³. Calculate the volume of the cuboid in cm³. - Original 63984
If we reduce the length of the cube edge by 30%, this reduced cube has an area of 1176 cm². Specify the edge length and volume of the original cube. - Diameter 48211
What is the diameter of the ball (for men) if it weighs 7,250 g and ρ = 7.8g / cm³ - Volumes 24771
The block and the cube have the same volumes = 216 cm³. The block has side lengths of b = 4 cm, c = 9 cm. Can they have the same side? - Cube 5
The surface of the cube is 15.36 dm². How will change the surface area of this cube if the length of the edges is reduced by 2 cm? - Millimeter 7269
The road is paved with 2500cm cubic cubes. Calculate the edge size to the nearest millimeter. - Dimensions 3086
The red cube has an edge 0.2 dm smaller than the blue cube. The surface of the blue cube is 294 cm². What are the dimensions of the cubes? - Original 18203
There is a cube with an edge. How long must the cube's edge be in which the volume should be twice the volume of the original cube? - Material 16923
The cube weighs 32 kg. How much kg does a cube made of the same material, which has an edge four times shorter, weigh? - Centimeter 8324
Calculate the radius of a sphere with a volume of 6.2 dm³. Round to the nearest centimeter. - Calculate 5624
The cube has a surface area of 110.6 cm². Calculate the length of its edge. - Cube surface and volume
The surface of the cube is 500 cm². How much cm³ will its volume be? - Cube surfce2volume
Calculate the volume of the cube if its surface is 150 cm².
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