Solid geometry, stereometry

Solid geometry is the name for the geometry of three-dimensional Euclidean space.

Stereometry involves the measurements of volumes of various solid figures (three-dimensional figures), including pyramids, prisms, and other polyhedrons; cylinders; cones; truncated cones; and balls bounded by spheres.

Number of problems found: 1103

  • Barrel of oil
    dieselbarrel Barrel of oil weighs 283 kg. When it mold 26% oil, weighed 216 kg. What is the mass of the empty barrel?
  • Concrete pipe
    concrete_pipe Concrete pipe is cylindrical with an inner diameter 110 cm and outer 120 cm. Calculate the surface of the concrete pipe, if it is 9 m long.
  • Copper plate
    copper-sheet Copper plate length 3.2 m and width 50 cm weighs 55.42 kg. What is the plate thick, if 1 m3 of copper weighs about 8700 kg?
  • Roller
    cylinder Cylinder shell has the same content as one of its bases. Cylinder height is 15 dm. What is the radius of the base of the cylinder?
  • Cylinder - A&V
    cylinder The cylinder has a volume 1287. The base has a radius 10. What is the area of the surface of the cylinder?
  • Cylinder - basics
    cylinder Cylinder with base radius r = 54 cm and height h=35 cm. Calculate: a) Area of the base
  • Sphere A2V
    sphere3 The surface of the sphere is 241 mm2. What is its volume?
  • Sphere growth
    sphere How many times grow volume of sphere if diameter rises 10×?
  • Sphere fall
    sphere How many percent fall volume of a sphere if diameter decreases 3×?
  • Floating barrel
    floating_barrel Barrel (cylinder shape) floats on water, top of the barrel is 8 dm above water, and the width of surfaced barrel part is 23 dm. Barrel length is 24 dm. Calculate the volume of the barrel.
  • Present
    prezent Gift box has a rectangular shape with dimensions of 8×8×3 cm. Miloslav wants to cover with square paper with sides of 18 cm. How much paper left him?
  • Cone in cylinder
    cone_in_cylinder The cylinder is inscribed cone. Determine the ratio of the volume of cone and cylinder. The ratio express as a decimal number and as percentage.
  • Cone in cube
    kuzel_kocka The cube is inscribed cone. Determine the ratio of the volume of cone and cube. The ratio express as a decimal number and as percentage.
  • Aquarium
    akvarium Aquarium is rectangular box with square base containing 76 liters of water. Length of base edge is 42 cm. To what height the water level goes?
  • Cube wall
    kocka The surface of the first cube wall is 64 m2. The second cube area is 40% of the surface of the first cube. Determine the length of the edge of the second cube (x).
  • Cube in ball
    sphere2 Cube is inscribed into the sphere of radius 181 dm. How many percent is the volume of cube of the volume of the sphere?
  • Hollow sphere
    Xmas_ball Calculate the weight of a hollow stříbrné sphere (density 10.5 g/cm3) if the vnitřní diameter is 15 cm and wall thickness is 1 mm.
  • Cube - angles
    cube_diagonal Calculate angle between the wall diagonal and cube base. Calculate the angle between the cube body diagonal and cube base.
  • Plasticine ball
    p_balls Plasticine balls have radius r1=85 cm, r2=60 mm, r3=59 cm, r4=86 cm, r5=20 cm, r6=76 mm, r7=81 mm, r8=25 mm, r9=19 mm, r10=14 cm. For these balls
  • Cube diagonal
    cube_diagonal Determine the length of the cube diagonal with edge 37 mm.

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