Cube root + expression of a variable from the formula - practice problems - page 5 of 6
Number of problems found: 107
- Determine 5629
The edge of the cube has a length a = 1. Find the length of the edge of a cube that has a double surface. - Calculate 5624
The cube has a surface area of 110.6 cm². Calculate the length of its edge. - Diagonals 5551
The cube has a wall area of 81 cm². Calculate the length of its edge, wall, and solid diagonals. - Calculate
Calculate the length of the wall diagonal of the cube with an edge 5 cm long.
- 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. - 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? - Cube and sphere
A cube with a surface area of 150 cm² is described sphere. What is a sphere surface? - Completely 4226
The aquarium is shaped like a cube and is partially filled with water. For Peter, a cube with an edge of 8 cm fell into it and completely sank. The water level in the aquarium rose by 1 cm. What is the volume of the whole aquarium? - Area of a cube
Calculate the surface area of a cube if its volume is equal to 729 cubic meters.
- Cube edge
Determine the cube's edges when the surface is equal to 37.5 cm square. - Four-thirds 3852
Anton said: I have a natural number x. I'll get three times as much if I increase it to four-thirds. What number did Anton mean? - Volume and area
What is a cube's volume with an area of 361 cm²? - Infinitely 3818
We have 2 numbers. If we multiplied the first number's third root by the second number's square root, we would get the number 18. Determine these 2 numbers. Calculate only the integer solution if the problem has infinitely many solutions in the set of rea - 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.
- The cube
The cube has a surface area of 486 m². Calculate its volume. - 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? - 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 8
The surface of the cube is 0.54 m². Calculate the length of the cube 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?
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