Cube + triangle - math problems

Number of problems found: 34

  • Chocolate roll
    chocholate The cube of 5 cm chocolate roll weighs 30 g. How many calories will contain the same chocolate roller of a prism shape with a length of 0.5 m whose cross-section is an isosceles trapezoid with bases 25 and 13 cm and legs 10 cm? You know that 100 g of this
  • Pyramid in cube
    pyramid_in_cube In a cube with an edge 12 dm long, we have an inscribed pyramid with the apex at the center of the cube's upper wall. Calculate the volume and surface area of the pyramid.
  • Cube diagonals
    krychlicka Determine the volume and surface area of the cube if you know the length of the body diagonal u = 216 cm.
  • Cube
    krychlicka Calculate the surface of the cube ABCDA'B'C'D' if the area of rectangle ACC'A' = 344 mm2.
  • Body diagonal
    cubes3 Find the cube surface if its body diagonal has a size of 6 cm.
  • Cube - wall
    cubes V kocke ABCDEFGH je |CF|=4 √ 2. Aký je povrch kocky?
  • Funnel
    nalevka 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.
  • Center of the cube
    center_of_cube The Center of the cube has a distance 16 cm from each vertex. Calculate the volume V and surface area S of the cube.
  • Rotary cone
    cone The volume of the rotation of the cone is 472 cm3, and the angle between the side of the cone and the base angle is 70°. Calculate the lateral surface area of this cone.
  • Task
    cube I have homework. The cube has an edge 7 cm long and I must find wall and body diagonal.
  • Prism
    3b_hranol Right-angled prism, whose base is a right triangle with leg a = 3 cm and hypotenuse c = 13 cm, has the same volume as a cube with an edge length of 3 dm. a) Find the height of the prism b) Calculate the surface of the prism c) What percentage of the cube'
  • Cubes
    squares One cube is an inscribed sphere and the other one described. Calculate the difference of volumes of cubes, if the difference of surfaces in 257 mm2.
  • Cube - angles
    cube_diagonal Calculate the angle between the wall diagonal and cube base. Calculate the angle between the cube body diagonal and cube base.
  • Cube diagonal
    cube_diagonal Determine the length of the cube diagonal with edge 37 mm.

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