Iceberg

What is the surface area of 50 cm iceberg (in the shape of a cuboid) that can carry a man with luggage with a total weight of 120 kg?

Result

S =  3 m2

Solution:

h=50 cm=50/100 m=0.5 m m=120 kg  ρ1=1000 kg/m3 ρ2=920 kg/m3  ρ=ρ1−ρ2=1000−920=80 kg/m3  m=ρV  V=m/ρ=120/80=32=1.5 m3 V=Sh  S=V/h=1.5/0.5=3 m2h=50 \ cm=50 / 100 \ m=0.5 \ m \ \\ m=120 \ \text{kg} \ \\ \ \\ ρ_{1}=1000 \ \text{kg/m}^3 \ \\ ρ_{2}=920 \ \text{kg/m}^3 \ \\ \ \\ ρ=ρ_{1}-ρ_{2}=1000-920=80 \ \text{kg/m}^3 \ \\ \ \\ m=ρ V \ \\ \ \\ V=m/ρ=120/80=\dfrac{ 3 }{ 2 }=1.5 \ \text{m}^3 \ \\ V=Sh \ \\ \ \\ S=V/h=1.5/0.5=3 \ \text{m}^2

Try another example


Our examples were largely sent or created by pupils and students themselves. Therefore, we would be pleased if you could send us any errors you found, spelling mistakes, or rephasing the example. Thank you!





Leave us a comment of this math problem and its solution (i.e. if it is still somewhat unclear...):

Showing 0 comments:
1st comment
Be the first to comment!
avatar




Tips to related online calculators
Tip: Our volume units converter will help you with the conversion of volume units.
Tip: Our Density units converter will help you with the conversion of density units.

Following knowledge from mathematics are needed to solve this word math problem:

Next similar math problems:

  1. Megapascals
    engine What is the area of crosssection of the piston, if the force of 300 kN produces a pressure of 5 MPa?
  2. Stone
    kamen When Peter threw stone in a box of water he discovered that the water level has risen by 6 cm. The box has a cuboid shape, the bottom has dimensions of 24 cm and 14 cm, height is 40 cm. What volume has a stone?
  3. Railway wagon
    cargo The railway wagon holds 75 m3 load. Wagon can carry a maximum weight of 30 tonnes. What is the maximum density that may have material with which we could fill this whole wagon? b) what amount of peat (density 350 kg/m3) can carry 15 wagons?
  4. Iron cast
    litina What is the weight of cast iron with volume 3575 cubic centimeters. The density of the cast iron is 7600 kg/m3
  5. Basen
    bazen_9 How many square meters of tiles we need to tile the walls and floor of the pool 15 meters long, six meters wide and two meters?deep
  6. Square prism
    hranol4sreg_4 Calculate the volume of a square prism of high 2 dm wherein the base is: rectangle with sides 17 cm and 1.3 dm
  7. Triangular prism
    prism3s_1 Calculate the volume of a triangular prism 10 cm high, the base of which is an equilateral triangle with dimensions a = 5 cm and height va = 4,3 cm
  8. Rainfall
    rain_5 On Thursday, fell 1 cm rainfall. How many liters of water fell to rectangular garden with dimensions of 22 m x 35 m?
  9. Rainwater
    rain The garden area of 800 square meters fell 3mm of rainwater. How many 10 liters of water can we water this garden equally?
  10. Percitipation - meteo
    percipitation Do you have any tip for calc percitipation on a lnd ? Example on 2 ha falls to 5 mm, how many cubic meters is it?
  11. Aquarium
    akvarko I have an aquarium that is 100 cm long and 40 cm wide and 40 cm in height. We fill it with water. How much will it weigh?
  12. Reservoir 3
    water_11 How many cubic feet of water is stored in the reservoir that has a length of 200 feet, a width of 100 feet, an overflow depth of 32 feet, and a current water level of 24 feet?
  13. Wood prisms
    wood How many weight 25 prisms with dimensions 8x8x200 cm? 1 cubic meter of wood weighs 800 kg.
  14. The cuboid
    nadrz The cuboid is filled to the brim with water. The external dimensions are 95 cm, 120 cm, and 60 cm. The thickness of all walls and the bottom is 5 cm. How many liters of water fit into the cuboid?
  15. Gold horseshoe
    podkova Calculate the volume of a gold horseshoe that weighs 750g.
  16. Metal pyramid
    jehlan_5 Find the weight of a regular quadrilateral pyramid with a 5 cm length and 6,5 cm body height is made from material with density g/cm3.
  17. Solid in water
    inwater The solid weighs in air 11.8 g and in water 10 g. Calculate the density of the solid.