Cheops pyramid

The Pyramid of Cheops is a pyramid with a square base with a side of 233 m and a height of 146.6 m. It made from limestone with a density of 2.7 g/cm3. Calculate the amount of stone in tons. How many trains with 30 twenty tons wagons carry the stone?

Result

m =  7162891 t
n =  11938.152

Solution:

a=233 m h=146.6 m  ρ=2.7 g/cm3kg/m3=2.7 1000 kg/m3=2700 kg/m3  S1=a2=2332=54289 m2  V=13 S1 h=13 54289 146.62652922.4667 m3  m1=ρ V=2700 2652922.4667=7162890660.01 kg  m=m1t=m1/1000 t=7162890660.01/1000 t=7162890.66001 t=7162891 t=7.162891106 ta=233 \ \text{m} \ \\ h=146.6 \ \text{m} \ \\ \ \\ ρ=2.7 \ g/cm^3 \rightarrow kg/m^3=2.7 \cdot \ 1000 \ kg/m^3=2700 \ kg/m^3 \ \\ \ \\ S_{1}=a^2=233^2=54289 \ \text{m}^2 \ \\ \ \\ V=\dfrac{ 1 }{ 3 } \cdot \ S_{1} \cdot \ h=\dfrac{ 1 }{ 3 } \cdot \ 54289 \cdot \ 146.6 \doteq 2652922.4667 \ \text{m}^3 \ \\ \ \\ m_{1}=ρ \cdot \ V=2700 \cdot \ 2652922.4667=7162890660.01 \ \text{kg} \ \\ \ \\ m=m_{1} \rightarrow t=m_{1} / 1000 \ t=7162890660.01 / 1000 \ t=7162890.66001 \ t=7162891 \ \text{t}=7.162891\cdot 10^{ 6 } \ \text{t}
m2=30 20=600 t  n=m/m2=7162890.66/60011938.151711938.152m_{2}=30 \cdot \ 20=600 \ \text{t} \ \\ \ \\ n=m/m_{2}=7162890.66/600 \doteq 11938.1517 \doteq 11938.152



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
Do you know the volume and unit volume, and want to convert volume units?
Tip: Our Density units converter will help you with the conversion of density units.
Do you want to convert mass units?

Next similar math problems:

  1. 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.
  2. A square base
    pyramid A solid right pyramid has a square base. The length of the base edge is 4 centimeters and the height of the pyramid is 3 centimeters. What is the volume of the pyramid?
  3. Conva
    konva_1 How many liters of water fit into the shape of a cylinder with a bottom diameter 20 cm and a height 45 cm?
  4. Pool
    bazen-2-05_1 The pool has the shape of a cylinder with a diameter 4.6m, the presumed height is 130cm. The bucket fits 12l of water. How many buckets do you have to bring to fill this pool?
  5. 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?
  6. AL wire
    vaha2 What is the weight of an aluminum wire 250 m long with a diameter of 2 mm, if the density of aluminum is p = 2700 kg/m cubic. Determine to the nearest gram.
  7. Oak trunk
    stromy Calculate in tonnes the approximate weight of a cylindrical oak trunk with a diameter of 66 cm and a length of 4 m, knowing that the density of the wood was 800 kg/m³.
  8. 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
  9. Cannonballs
    sphere_Nickel Of the three cannonballs with a diameter of 16 cm, which landed in the castle courtyard during the battle, the castle blacksmith cast balls with a diameter of 10 cm, which fit into the cannons placed on the walls. How many cannonballs did the blacksmith c
  10. Solid in water
    inwater The solid weighs in air 11.8 g and in water 10 g. Calculate the density of the solid.
  11. Gold horseshoe
    podkova Calculate the volume of a gold horseshoe that weighs 750g.
  12. Density - simple example
    mercury Material of density of 532 kg/m3 occupies a container volume of 79 cm3. What is its mass?
  13. Truck of milk
    daf How many hectoliters of ,,the box" milk fit in the truck, ake cargo size area is 2.8 m x 3 m x 17 m? A liter of milk in a box measuring 12 cm x 7 cm x 20 cm.
  14. Liter of gold
    zlatovlaska_1 What weight does 1 dm3 of gold have? Gold density is 19,300 kg / m3
  15. Syringe and patient
    injekcia_1 In 1 ampoule of 2 ml is 15 mg of Dipidol. The patient should receive 10 mg. How much ml do I draw into the syringe?
  16. 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?
  17. Wood
    wood_timber Wood density is 0.6 g/cm3. How many kilograms weight 1 m3 of wood?