Iron pole

What is the mass of pole with the shape of a regular quadrilateral prism with a length of 1 m and a cross-sectional side length of a = 4.5 cm make from iron with density ρ = 7800 kg/m³?

Correct result:

m =  15.795 kg

Solution:

ρ=7800 kg/m3 c=1 m a=4.5 cm→m=4.5/100 m=0.045 m V=a2⋅ c=0.0452⋅ 1≐8140000≐0.002 m3  m=ρ⋅ V=7800⋅ 0.002=3159200=15.795 kgρ=7800 \ \text{kg/m}^3 \ \\ c=1 \ \text{m} \ \\ a=4.5 \ cm \rightarrow m=4.5 / 100 \ m=0.045 \ m \ \\ V=a^2 \cdot \ c=0.045^2 \cdot \ 1 \doteq \dfrac{ 81 }{ 40000 } \doteq 0.002 \ \text{m}^3 \ \\ \ \\ m=ρ \cdot \ V=7800 \cdot \ 0.002=\dfrac{ 3159 }{ 200 }=15.795 \ \text{kg}

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!





Please write to us with your comment on the math problem or ask something. Thank you for helping each other - students, teachers, parents, and problem authors.

Showing 0 comments:
avatar




Tips to related online calculators
Do you want to convert length units?
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?

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:

  • Square prism
    prism_2 A square prism has a base with a length of 23 centimeters, what is the area in square centimeters of the base of the prism?
  • Liter of gold
    zlatovlaska_1 What weight does 1 dm3 of gold have? Gold density is 19,300 kg / m3
  • Swimming pool
    bazen_1 The swimming pool has the shape of a block with dimensions of 70dm, 25m, 200cm. How many hl of water can fit into the pool?
  • Oak cuboid
    hranol4sreg_3 Oak timber is rectangular shaped with dimensions of 2m, 30 cm and 15 cm. It weight is 70 kg. Calculate the weight 1 dm³ of timber.
  • 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?
  • Hectoliters
    hl How many hectoliters of water fits into cuboid tank with dimensions of a = 3.5 m b = 2.5 m c = 1.4 m?
  • 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?
  • Rain
    rain Garden shape of a rectangle measuring 15 m and 20 m rained water up to 3 mm. How many liters of water rained on the garden?
  • Converting units
    pharmacy_1 Health care professionals frequently convert from one system of measurement to another. Whether you are converting a metric measurement into the household system for a patient or converting within the metric system to enter data in a specific format, the
  • Density of the concrete
    beton_1 Find the density of the concrete of the cuboid-shaped column has dimensions of 20 x 20 cm x 2 m if the weight of the column is 200 kg.
  • Excavator
    pisek The excavator bucket capacity is 0.5 m3. Determine the mass of sand that the excavator picks up. The sand density is 1650 kg/m3.
  • The shop
    lahev The shop has 3 hectoliters of water. How many liter bottles is it?
  • A swiming
    water2 A swiming pool holds 30000lt of water. How many gallons does it hold? 1 gallon= 4.55lt
  • Wood
    wood_timber Wood density is 0.6 g/cm3. How many kilograms weight 1 m3 of wood?
  • Recipe
    vaha2_2 A recipe requires 2 pounds of flour. If a chef wants to triple the recipe, how many ounces of flour will be needed?
  • Customary length
    inch Convert length 65yd 2 ft to ft
  • Two cuboids
    cuboid_13 Find the volume of cuboidal box whose one edge is: a) 1.4m and b) 2.1dm