Metal pyramid

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.

Correct result:

m =  433.3 g

Solution:

a=5 cm h=6.5 cm r=8 g/cm3 V=a2⋅ h/3=52⋅ 6.5/3≐3256≐54.1667 cm3 m=r⋅ V=8⋅ 54.1667=13003=433.3 ga=5 \ \text{cm} \ \\ h=6.5 \ \text{cm} \ \\ r=8 \ \text{g/cm}^3 \ \\ V=a^2 \cdot \ h/3=5^2 \cdot \ 6.5/3 \doteq \dfrac{ 325 }{ 6 } \doteq 54.1667 \ \text{cm}^3 \ \\ m=r \cdot \ V=8 \cdot \ 54.1667=\dfrac{ 1300 }{ 3 }=433.3 \ \text{g}

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
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:

Next similar math problems:

  • Gravel - cone
    hromada Mound of gravel has shape of regular circular cone with a height 3.3 meter and a base circumference of 18.85 meters. How many cubic meters of gravel are in the pile? Calculate the weight of gravel if its density is p = 640 kg / cubic m.
  • Quadrilateral pyramid
    jehlan_4b_obdelnik Calculate the volume of a quadrilateral pyramid, the base of which has the shape of a rectangle with dimensions a = 6cm, b = 4cm and height v = 11cm
  • 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?
  • Volume of the cone
    kuzel Find the volume of the cone with the base radius r and the height v. a) r = 6 cm, v = 8 cm b) r = 0,9 m, v = 2,3 m c) r = 1,4 dm, v = 30 dm
  • The piglet
    piglet The weight of the piglet grew regularly by five kilograms for four months. Determine the proportion by weight of the piglet in each month, if the first weighed 35 kg.
  • 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.
  • 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
  • Concrete hatch
    beton The concrete hatch for a round well has a diameter of 1300 mm and a thickness of 80 mm. Determine its weight in kg if the density of the concrete is 2545 kg/m3
  • Pigs
    prasce Pigs are feed by beet.Beet feed containing 12% dry solids, which is 0.72% of digestible crude protein. How much beet must beconsumed in one month (30 days), if the weight of digestible crude protein contained in a daily dose of beet was 0.912 kg?
  • Weightlifter
    culturist Weightlifter lifted 75% of its weight. Determine how much weight lifted when he weighs 132 kg.
  • Cube
    kocka_rubik The cube weighs 11 kg. How weight is cube of the same material, if its dimensions are 3-times smaller?
  • Weights
    vahy_1 Marry and John together weighing 49 kg. Their weights are in ratio 1:6. Determine their weights.
  • Solid in water
    inwater The solid weighs in air 19.9 g and in water 17 g. Calculate the density of the solid.
  • Lead cube
    pb_cube Calculate the edge of the cube made ​​from lead, which weighs 19 kg. The density of lead is 11341 kg/m3.
  • Gold horseshoe
    podkova Calculate the volume of a gold horseshoe that weighs 750g.
  • 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.