Triangle + cube root - practice problems
Number of problems found: 23
- Moivre 2
Find the cube roots of 125(cos 288° + i sin 288°). - Complex roots
Find the sum of the fourth square root of the number 16. - Equilateral cone
We pour so much water into a container with the shape of an equilateral cone, the base of which has a radius r = 6 cm, that one-third of the volume of the cone is filled. How high will the water reach if we turn the cone upside down? - Rotary cone
The volume of the rotation of the cone is 472 cm³. The angle between the side of the cone and the base angle is 70°. Calculate the lateral surface area of this cone.
- Body diagonal
Calculate the cube volume, whose body diagonal size is 75 dm. Draw a picture and highlight the body diagonally. - The funnel
The funnel has the shape of an equilateral cone. Calculate the area wetted with water if you pour 3 liters of water into the funnel. - Funnel
The funnel has the shape of an equilateral cone. Calculate the surface wetted with water if we poured into the funnel 7.1 liters of water. - Diagonals 3580
Cube edge length 5cm. Draw different diagonals. - Cubes
One cube is an inscribed sphere, and the other one is described. Calculate the difference of volumes of cubes if the difference of surfaces in 231 cm².
- Pyramid cut
We cut the regular square pyramid with a parallel plane to the two parts (see figure). The volume of the smaller pyramid is 20% of the volume of the original one. The bottom of the base of the smaller pyramid has an area of 10 cm². Find the area of the or - Diagonals 5551
The cube has a wall area of 81 cm². Calculate the length of its edge, wall, and solid diagonals. - Calculate 83044
The cube comprises 64 small cubes, each with an edge length of 15 mm. Calculate the wall length and body diagonals. - Cube diagonals
Calculate the length of the side and the diagonals of the cube with a volume of 27 cm³. - Cube - wall
V kocke ABCDEFGH je |CF|=4 √ 2. Aký je povrch kocky?
- Calculate 64654
Calculate the length of the wall and body diagonal in a cube with an edge of 60 cm. - Calculate
Calculate the length of the wall diagonal of the cube with an edge 5 cm long. - Cube and sphere
A cube with a surface area of 150 cm² is described sphere. What is a sphere surface? - Cube diagonal
Determine the length of the cube diagonal with edge 23 km. - An equilateral cone
Determine the radius and height (in centimeters) of an equilateral cone that has a volume of 1 liter.
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