Body volume - examples

  1. Scale factor
    cuboid_7 A prism with a volume of 1458 mm3 is scaled down to a volume of 16mm3. What is the scale factor in fraction form?
  2. Brick wall
    plot_zed Garden 70 m long and 48 m wide should surround with wall 2.1 meters high and 30 cm thick. How many we will need bricks if to 1 m³ is needed approximately 300 bricks?
  3. 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?
  4. Cube 1-2-3
    cube_shield_1 Calculate the volume and surface area of the cube ABCDEFGH if: a) /AB/ = 4 cm b) perimeter of wall ABCD is 22 cm c) the sum of the lengths of all edges of the cube is 30 cm.
  5. Cylinder - h
    cylinder_2 Cylinder volume is 129 cm3. Base radius is 3 cm. Calculate the height of the cylinder.
  6. Tereza
    cube The cube has area of base 400 mm2. Calculate the edge length, volume and area of its surface.
  7. 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?
  8. 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.
  9. 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?
  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. Cubes
    rubik_cube Cube, which consists of 27 small cubes with edge 3 dm has volume:
  12. Rotating cone
    cone Calculate volume of a rotating cone with base radius r=7 cm and height h=17 cm.
  13. Sphere growth
    sphere How many times grow volume of sphere if radius rises 3×?
  14. 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.
  15. Cube
    kocka_rubik The cube weighs 18 kg. How weight is cube of the same material, if its dimensions are 3-times smaller?
  16. Volume from surface area
    cube_3 What is the volume of the cube whose surface area is 96 cm2?
  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. 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?
  19. 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?
  20. 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.

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