Volume - problems

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  1. Sea water
    sea_1 Seawater contains about 6.8% salt. How many dm3 of distilled water we must pour into 30 dm3 of sea water to get water with 1.9% salt?
  2. Sea water
    sea Mixing 68 kg of sea water with 73 kg rainwater is created water containing 3% salt. How many percent sea water contains salt?
  3. Cone
    truncated_cone_1 Circular cone with height h = 11 dm and base radius r = 4 dm slice plane parallel to the base. Calculate distance of the cone vertex from this plane, if solids have the same volume.
  4. Floating barrel
    floating_barrel Barrel (cylinder shape) floats on water, top of barrel is 7 dm above water and the width of surfaced barrel part is 20 dm. Barrel length is 27 dm. Calculate the volume of the barrel.
  5. Cube
    cube2 The sum of lengths of cube edges is 22 cm. What is its surface and volume?
  6. Reservoir + water
    cuboid_water Reservoir completely filled with water weighs 13 kg. After pouring off three quarters of the amount of water weights 4 kg. Calculate the weight and volume of the reservoir.
  7. Tetrahedral prism
    hranol Calculate surface and volume tetrahedral prism, which has a rhomboid-shaped base, and its dimensions are: a = 12 cm, b = 7 cm, ha = 6 cm and prism height h = 10 cm.
  8. Hexagonal pyramid
    Hexagonal_pyramid Calculate the volume and the surface of a regular hexagonal pyramid with a base edge length 3 cm and a height 5 cm.
  9. Cube corners
    2cube The wooden cube with edge 45 cm was cut in 4 corners of cube with edge 5 cm. How many cubes of edge 5 cm can be even cut?
  10. Cylinder - area
    valec The diameter of the cylinder is one-third the length of the height of the cylinder. Calculate the surface of cylinder if its volume is 2 m3.
  11. Milk package
    madeta Milk is sold in a box with dimensions of 9.5 cm; 16.5 cm and 6.5 cm. Determine the maximum amount of milk that can fit into a box. Coating thickness is negligible.
  12. Iron fence
    fe One field of iron fence consists of 20 iron rods with square cross-section of 1.5 cm side and a long 1 meter. How much weight a field if the density of iron is 7800 kg/m3.
  13. Cylinder - h2
    valec_1 Cylinder volume is 2.7 liters. Base area is 1 dm2. Calculate the height of the cylinder.
  14. Cube and water
    krychle_3 How many liters of water can fit into a cube with an edge length of 0.11 m?
  15. Cuboid
    dodecagon The volume of the cuboid is 245 cm3. Each cuboid edge length can be expressed by a integer greater than 1 cm. What is the surface area of the cuboid?
  16. Heart as pump
    srdce Heart pumps out 5.17 liters of blood in 1 minute. How many liters of blood pumped per hour and how much per day?
  17. Prism - box
    cuboids_1 The base of prism is a rectangle with a side of 7.5 cm and 12.5 cm diagonal. The volume of the prism is V = 0.9 dm3. Calculate the surface of the prism.
  18. Barrel
    barell_1 The barrel is filled with water up to 57% of its capacity. When we add two buckets will be filled to 73% of its capacity. What is the volume of a barrel, if the volume of the bucket is 12 liters?
  19. Hexa prism
    hexagon Determine the volume of hex prism with edge base 4 cm. The body height is 28 cm.
  20. Prism
    hranol4sreg_1 Calculate the height of the prism having a surface area 448.88 dm² wherein the base is square with a side of 6.2 dm. What will be its volume in hectoliters?

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