Stereometry - examples

  1. Stones in aquarium
    akvarko_7 In an aquarium with a length 2 m; width 1.5 m and a depth of 2.5 m is a water level up to three-quarters of the depth. Can we place stones with a volume of 2 m3 into the aquarium without water being poured out?
  2. Flowerbed
    zahon_5 The flowerbed has a length 3500mm and a width 1400mm. How many foil is needed to covers the flowerbed? How many m2 of foil was consumed for its production (add 10% of the material to the joint and waste)? How many liters of air is inside the enclosure? (F
  3. Water reservoir
    nadrz_9 The water tank has a cuboid with edges a= 1 m, b=2 m , c = 1 m. Calculate how many centimeters of water level falls, if we fill fifteen 12 liters cans.
  4. Oak cuboid
    hranol4sreg_3 Oak timber is rectangular shaped with dimensions of 2m, 30 cm and 15 cm. It weight is 70 kg. Calculate the weight 1 dm³ of timber.
  5. Cube
    1cube Calculate the surface cube with edge 29 dm.
  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. Transforming cuboid
    cube Cuboid with dimensions 10 cm, 9 and 17 cm is converted into a cube with the same volume. What is its edge length?
  8. 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?
  9. Cubes
    rubik_cube Cube, which consists of 27 small cubes with edge 3 dm has volume:
  10. Lathe
    soustruh From the cube of edge 52 cm was lathed maximum cylinder. What percentage of the cube is left as waste after lathed?
  11. Rotating cone
    cone Calculate volume of a rotating cone with base radius r=7 cm and height h=17 cm.
  12. Sphere growth
    sphere How many times grow volume of sphere if radius rises 3×?
  13. 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.
  14. Cylinder
    cyl_1 The cylinder-shaped container has 80 liters of water. The water reaches 45 cm height. How many liters of water will be in a container if water level extend to a height 72 cm? Write the result in liters, write down only as a whole or decimal number.
  15. Pipes
    water_pipe Water pipe has a cross-section 1939 cm2. An hour has passed 567 m3 of water. How much water flows through the pipe with cross-section 300 cm2 per 14 hours if water flow same speed?
  16. Barrel of oil
    dieselbarrel Barrel of oil weighs 282 kg. When it mold 56% oil, weighed 138 kg. What is the mass of the empty barrel?
  17. Volume from surface area
    cube_3 What is the volume of the cube whose surface area is 96 cm2?
  18. 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?
  19. Water
    cylinder_1 Into a full cylindrical tank high 2 with base radius 2.3 m we insert cuboid with dimensions 0.5 m, 1.3 m, 1.5 m. How many liters of water will come out?
  20. Cube wall
    kocka Surface of first cube wall his 361 cm2. Second cube area is 30% of the surface of the first cube. Determine the length of the edge of the second cube (x).

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