Solid geometry, stereometry

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

Stereometry deals with 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: 1005

  • Gasholder
    gas_holder The gasholder has spherical shape with a diameter 23 m. How many m3 can hold in?
  • Secret treasure
    max_cylinder_pyramid Scouts have a tent in the shape of a regular quadrilateral pyramid with a side of the base 4 m and a height of 3 m. Determine the radius r (and height h) of the container so that they can hide the largest possible treasure.
  • Aquarium
    akvarko Aquarium is cube with edge 45 cm. How much water can fit in there?
  • Shots
    broky 5500 lead shots with diameter 4 mm is decanted into a ball. What is it diameter?
  • The edge of a cube
    cubes How much does the edge of a cube of 54.9 cm3 measure?
  • Cube
    1cube Calculate the surface cube with edge 11 dm.
  • Earth's circumference
    parallels Calculate the Earth's circumference of the parallel 48 degrees and 10 minutes.
  • Cuboid
    kvadr Find the cuboid that has the same surface area as the volume.
  • Circular pool
    arc_open The base of the pool is a circle with a radius r = 10 m, excluding a circular segment that determines the chord length 10 meters. The pool depth is h = 2m. How many hectoliters of water can fit into the pool?
  • Special cube
    cube3 Calculate the edge of cube, if its surface and its volume is numerically equal number.
  • Volume of cube
    cubes2_1 Solve the volume of a cube with width 26cm .
  • Cube - wall
    cubes_2 V kocke ABCDEFGH je ?. Aký je povrch kocky?
  • Sphere fall
    sphere How many percent fall volume of a sphere if diameter decrease 3×?
  • Sphere growth
    sphere How many times grow volume of sphere if diameter rises 10×?
  • Pilot
    aircraft-02_12 How high is the airplane's pilot to see 0.001 of Earth's surface?
  • Earth parallel
    parallels Earth's radius is 6370 km long. Calculate the length parallel of latitude 50°.
  • Cylinder
    valec Calculate the dimensions of rotating cylindrical containers with volume 2 l if the container's height is equal to the base's diameter.
  • Hexagon cut pyramid
    truncated_hexa_pyramid Calculate the volume of a regular 6-sided cut pyramid if the bottom edge is 30 cm, the top edge us 12 cm, and the side edge length is 41 cm.
  • Cube root
    cubes_27 For 13, Sam wrote 2891 instead of the correct cube number. By how much was he wrong?
  • Sphere VS
    gule Find the surface and volume of a sphere that has a radius of 2 dm.

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