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?

Correct result:

S =  3 m2

Solution:

h=50 cm→m=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 \rightarrow m=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.

You need to know the following knowledge to solve this word math problem:


 
We encourage you to watch this tutorial video on this math problem: video1   video2

Next similar math problems:

  • Wooden box
    bedna The block-shaped box was placed on the ground, leaving a rectangular print with dimensions of 3 m and 2 m. When flipped over to another wall, a print with dimensions of 0.5 m and 3 m remained in the sand. What is the volume of the wooden box?
  • 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?
  • 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?
  • 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
  • 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
  • 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
  • Wall painting
    painter_1 The wall is 4 meters wide and 2 meters high. Window in the wall has dimensions 2x1,8 meters. How many litera of color is needed to paint two-layer this walls, if the 1 m2 needs 1 liters of paint?
  • 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?
  • 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?
  • Concrete pillar
    hranol_4bok_pravidelny How many m³ of concrete is needed for the construction of the pillar shape of a regular tetrahedral prism, when a = 60 cm and the height of the pillar is 2 meters?
  • 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?
  • Wood prisms
    wood How many weight 25 prisms with dimensions 8x8x200 cm? 1 cubic meter of wood weighs 800 kg.
  • 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?
  • Gold horseshoe
    podkova Calculate the volume of a gold horseshoe that weighs 750g.
  • 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.
  • Solid in water
    inwater The solid weighs in air 11.8 g and in water 10 g. Calculate the density of the solid.