Volume + third power - practice problems - page 5 of 6
Number of problems found: 118
- Volume and area
What is a cube's volume with an area of 361 cm²? - Prism bases
Volume perpendicular quadrilateral prism is 360 cm³. The edges of the base and height of the prism are in the ratio 5:4:2. Find the area of the base and walls of the prism. - 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? - The cube
The cube has a surface area of 486 m². Calculate its volume.
- Granite cube
What is the weight of a kilogram granite cube with an edge of 0.5 m if 1dm³ of granite weight 2600 g? - Volume 2887
The block volume is 512dm³. How long is the edge of a cube with the same volume as a block? - Cube 9
What was the cube's original edge length after cutting 39 small cubes with an edge of 2 dm left 200 dm³? - Lathe
Calculate the percentage of waste if the cube with 53 cm long edge is lathed to the cylinder with a maximum volume. - Cube 6
The surface area of one wall cube is 1600 cm square. How many liters of water can fit into the cube?
- 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 7
Calculate the volume of a cube whose sum of the lengths of all edges is 276 cm. - Cube and water
How many liters of water can fit into a cube with an edge length of 0.11 m? - Cuboids in cube
How many can cuboids with dimensions of 6 cm, 8 cm, and 12 cm fit into a cube with a side of 96 centimeters?
- Cube 3
How many times will increase the volume of a cube if we double the length of its edge? - Two boxes-cubes
Two boxes of a cube with edges a=28 cm and b = 92 cm are to be replaced by one cube-shaped box (same overall volume). How long will its edge be? - Equilateral cylinder
The equilateral cylinder (height = base diameter; h = 2r) has a V = 272 cm³ volume. Calculate the surface area of the cylinder. - 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? - Hollow sphere
The hollow steel sphere floats on the water, plunged into half its volume. Determine the outer radius of the sphere and wall thickness if you know that the weight of the sphere is 0.5 kg and the density of steel is 7850 kg/m³
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