Length + third power - practice problems - last page
Number of problems found: 39
- Big cube
Calculate the cube's surface, which is composed of 64 small cubes with an edge 1 cm long. - Length 6208
How does the volume of a cube change if we double the length of its edge? - Measuring 6188
Find the length of the cube's edge and its volume is equal to 60% of the volume of a block measuring 7 cm, 8 cm, and 6 cm. - Cube edges
If the edge length of the cube increases by 50%, how does the volume of this cube increase?
- Body diagonal
The cuboid has a volume of 32 cm³. Its side surface area is double as one of the square bases. What is the length of the body diagonal? - Tower model
The tower's height is 300 meters, and its weight is 8000 tons. How high is the model of the tower's weight of 1 kg? (State the result in centimeters). The model is made from exactly the same material as the original no numbers need to be rounded. A result - Cubes 3201
How many small cubes do we get when we cut a cube with an edge of 5 dm into cubes with an edge of 1 dm? - Cube 9
What was the cube's original edge length after cutting 39 small cubes with an edge of 2 dm left 200 dm³? - 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.
- Cube containers
Two containers shaped as cubes with edges of 0.7 m and 0.9 m replace a single cube so that it has the same volume as the original two together. What is the length of the edges of the new cube? - Cube and water
How many liters of water can fit into a cube with an edge length of 0.11 m? - Cube 3
How many times will increase the volume of a cube if we double the length of its edge? - For thinkings
The glass cube dives into the aquarium, which has a length of 25 cm, a width of 20 cm, and a height of 30 cm. Aquarium water rises by 2 cm. a) What is the volume of a cube? b) How many centimeters measure its edge? - Cube basics
How long is the edge length of a cube with volume 15 m³?
- Cylinder - area
The diameter of the cylinder is one-third the length of the height of the cylinder. Calculate the surface of the cylinder if its volume is 2 m³. - 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? - Tereza
The cube has an area of base 144 mm². Calculate the edge length, volume, and area of its surface. - Sphere
The sphere's surface is 12100 cm², and the weight is 136 kg. What is its density?
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