Third power - practice problems - page 7 of 9
Number of problems found: 166
- 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.
- Equation: 3726
Determine the real root of the equation: x-3: x-8 = 32
- 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?
- Product 3108
The product of 3 numbers is 42. The first is 1.5 times larger than the second number, and the third is 3.5 times larger than the second number. What numbers are these?
- 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?
- Variations 3rd class
From how many elements can we create 13,800 variations of the 3rd class without repeating?
- 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?
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