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:

$a=5 \ \text{cm} \ \\ h=6.5 \ \text{cm} \ \\ r=8 \ \text{g/cm}^3 \ \\ V=a^2 \cdot \ h/3=5^2 \cdot \ 6.5/3 \doteq \dfrac{ 325 }{ 6 } \doteq 54.1667 \ \text{cm}^3 \ \\ m=r \cdot \ V=8 \cdot \ 54.1667=\dfrac{ 1300 }{ 3 }=433.3 \ \text{g}$

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.

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.

Next similar math problems:

• Gravel - cone
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.
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
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
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
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
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
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
What is the weight of cast iron with volume 3575 cubic centimeters. The density of the cast iron is 7600 kg/m3
• Concrete hatch
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
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
Weightlifter lifted 75% of its weight. Determine how much weight lifted when he weighs 132 kg.
• Cube
The cube weighs 11 kg. How weight is cube of the same material, if its dimensions are 3-times smaller?
• Weights
Marry and John together weighing 49 kg. Their weights are in ratio 1:6. Determine their weights.
• Solid in water
The solid weighs in air 19.9 g and in water 17 g. Calculate the density of the solid.