Body volume - examples

  1. Cuboid and eq2
    kvader11_2 Calculate the volume of cuboid with square base and height 6 cm if the surface area is 48 cm2.
  2. Ice and water
    ice_playground We want to cover rectangular rink with dimensions of 55 m and 25 m with 4cm thick layer of ice. How many liters of water we need if after freezing water increases its volume by 10%?
  3. Cylinder - h
    cylinder_2 Cylinder volume is 242 cm3. Base radius is 1 cm. Calculate the height of the cylinder.
  4. Tereza
    cube The cube has area of base 400 mm2. Calculate the edge length, volume and area of its surface.
  5. Transforming cuboid
    cube Cuboid with dimensions 12 cm, 20 and 8 cm is converted into a cube with the same volume. What is its edge length?
  6. Pool
    swimming-pool The swimming pool is 6 m wide and 14 m long and 185 cm deep. How many hectoliters of water is in it, if the water is 9 cm below its upper edge.
  7. Hole
    vykop They fill shape hole with dimensions 2.5 m, 18 m, 11.8 m with 260 m3 of soil. How many percent it fill up?
  8. Lathe
    soustruh From the cube of edge 52 cm was lathed maximum cylinder. What percentage of the cube is left as waste after lathed?
  9. Cubes
    rubik_cube Cube, which consists of 27 small cubes with edge 3 dm has volume:
  10. Rotating cone
    cone Calculate volume of a rotating cone with base radius r=7 cm and height h=17 cm.
  11. Sphere growth
    sphere How many times grow volume of sphere if radius rises 3×?
  12. Air mass
    airbaloon What is the weight of the air in a classroom with dimensions 5 m × 2 m × 3.1 m ? The air density is 1.293 kg/m3.
  13. Cube
    kocka_rubik The cube weighs 18 kg. How weight is cube of the same material, if its dimensions are 3-times smaller?
  14. Volume from surface area
    cube_3 What is the volume of the cube whose surface area is 96 cm2?
  15. Tetrapack
    tetrapack How high should be the milk box in the shape of a prism with base dimensions 8 cm and 14.2 cm if its volume is 1 liter?
  16. Spherical cap
    kulova_usec From the sphere of radius 12 was truncated spherical cap. Its height is 4. What part of the volume is spherical cap from whole sphere?
  17. Fire tank
    pool_3 How deep is the fire tank with the dimensions of the bottom 7m and 12m, when filled with 420 m3 of water?
  18. Cylinder - A&V
    cylinder The cylinder has a volume 253. The base has a radius 5. What is the area of surface of the cylinder?
  19. Sugar - cuboid
    kocky_cukor Pejko received from his master cuboid composed of identical sugar cubes with count between 1000 and 2000. The Pejko eat sugar cubes in layers. The first day eat one layer from the front, second day one layer from right, the third day one layer above. Yet i
  20. Pillar
    sliced_pyramid Calculate volume of pillar shape of a regular tetrahedral truncated pyramid, if his square have sides a = 17, b = 22 and height is v = 36.

Do you have interesting mathematical example that you can't solve it? Enter it and we can try to solve it.

To this e-mail address we will reply solution; solved examples are also published here. Please enter e-mail correctly and check whether you don't have a full mailbox.