Cube root - practice problems
Number of problems found: 198
- Cbrt of fraction
If a fraction is multiplied by itself and then divided by the reciprocal of the same fraction, the result is 18 26/27. Find the fraction. - Binary series
The 4th term of a G.P. is 16 and the 7th term is 128 . Find the first term and common ratio of the series. - Ones cube
Find the volume of a cube whose total surface area is 6 m². - Geometric 20
Find the geometric mean of 15 15 20 25 30.
- Perfect square or cube
Would you classify 324 as a perfect square, perfect cube, both, or neither? ... - A chest made
A chest in the shape of a cuboid made of sheet iron has dimensions of 24 m 0.8 m and 0.5 m. What will be the volume of a chest in the shape of a cube with the same surface area? - Two cubes 3 Two cubes modeled from plasticine have single-digit integer edge lengths with a difference of 1 cm. Can one large cube with an integer edge length be modeled from the same amount of plasticine?
- Box
A paper box is in the shape of a cube. 2,400 cm² of paper was used to make it. Bends for gluing the walls are not included. Calculate the volume of the box. - Original model
When drying, the modeling mass loses 36% of its original volume. If the cube's volume is 5.12 dm³ after drying, what was the original length of the edge?
- Calculate 83044
The cube comprises 64 small cubes, each with an edge length of 15 mm. Calculate the wall length and body diagonals. - Cube-shaped 82606
The paper box is cube-shaped. 2400 cm² was used for its production. Bends for gluing the walls are omitted. What is the volume of the box? - ABCDEFGH 82499
In the cube ABCDEFGH, the area of triangle ABK is √20 cm². How much cm² is the volume of ABGH in a cube if you know that K is the midpoint of edge CG? - Diagonal of a cube Calculate the volume of a cube with a wall diagonal of u = 20 cm.
- Calculate 82077 The surface of the cube is 150 dm². Calculate its volume.
- Increases 81991 What % of bacteria will increase hourly if the number increases from 100,000 to 370,000 in 5 hours?
- Inscribed cube
A cube is inscribed in a sphere with a radius of 27 cm. Calculate its volume and surface area. - Circumscribed - sphere A cube with a volume of 4096 cm³ is described and inscribed by a sphere. Calculate how many times the volume of the circumscribed sphere is greater than the inscribed sphere.
- Expressed 79474
The length of the cube's edge in cm is expressed as a natural number. Its volume is greater than 100 and less than 200. Calculate the surface area of the cube. - Smallest 79434
Find the smallest natural x such that 2x is the square and 3x is the third power of a natural number.
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