# Truncated pyramid

How many cubic meters is volume of a regular four-side truncated pyramid with edges one meter and 60 cm and high 250 mm?

Result

V =  0.163 m3

#### Solution:

$a_{1}=1 \ \text{m} \ \\ a_{2}=60/100=\dfrac{ 3 }{ 5 }=0.6 \ \text{m} \ \\ h=250/1000=\dfrac{ 1 }{ 4 }=0.25 \ \text{m} \ \\ \ \\ S_{1}=a_{1}^{ 2 }=1^{ 2 }=1 \ \text{m}^2 \ \\ S_{2}=a_{2}^{ 2 }=0.6^{ 2 }=\dfrac{ 9 }{ 25 }=0.36 \ \text{m}^2 \ \\ \ \\ V=h/3 \cdot \ (S_{1}+\sqrt{ S_{1} \cdot \ S_{2} }+S_{2})=0.25/3 \cdot \ (1+\sqrt{ 1 \cdot \ 0.36 }+0.36) \doteq \dfrac{ 49 }{ 300 } \doteq 0.1633 \doteq 0.163 \ \text{m}^3$

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...):

Be the first to comment!

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?

## Next similar math problems:

1. 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?
2. Pyramid a+h
Calculate the volume and surface area of the pyramid on the edge and height a = 26 cm. h = 3 dm.
3. Water well
Drilled well has a depth 20 meters and 0.1 meters radius. How many liters of water can fit into the well?
4. Tiles
How many square tiles with the content 121 cm2 has to be ordered for the paving of the square room with a side length of 2.75 meters?
5. Square garden
On the plan with a scale of 1:1500 is drawn as a square garden with area 81 cm2. How many meters is long garden fence? Determine the actual acreage gardens.
6. Conserving water
Calculate how many euros are spent annually on unnecessary domestic hot water, which cools during the night in pipeline. Residential house has 129 m of hot water pipelines 5/8" and the hot water has a price of 7 Eur/m3.
7. Gasholder
The gasholder has spherical shape with a diameter 20 m. How many m3 can hold in?
8. An oil
An oil drum is cut in half. One half is used as a water trough. Use the dimensions; length 82cm, width 56cm to estimate the capacity of the water trough in liters.
9. Tray
Wjat height reach water level in the tray shaped a cuboid, if it is 420 liters of water and bottom dimensions are 120 cm and 70 cm.
10. Aquarium volume
The aquarium has a cuboid shape and dimensions a = 0.3 m, b = 0.85 m, c =? , V = ?. What volume has a body, if after dipping into the aquarium water level rises by 28 mm?
11. Digging
A pit is dug in the shape of a cuboid with dimensions 10mX8mX3m. The earth taken out is spread evenly on a rectangular plot of land with dimensions 40m X 30m. What is the increase in the level of the plot ?
12. Ice cream in cone
In the ice cream cone with a diameter of 5.2 cm is 1.3 dl of ice cream. Calculate the depth of the cone.
13. Resistance
A resistor having an electrical resistance of 1.5 k ohms passes an electrical current of 0.1 A. Calculate what voltage is between the terminals of the resistor.
14. Theorem prove
We want to prove the sentence: If the natural number n is divisible by six, then n is divisible by three. From what assumption we started?
15. Folded square
ABCD is a square. The square is folded on the midpoint of AB and A is folded onto the fold, creating a shaded region. The perimiter of the shaded figure is 75. Find the area of square ABCD
16. Newtonmeters
The driver loosened the nut on the car wheel with a wrench that held 20 cm from the axis of the bolt. He acted on the key with a force of 320N. At what moment did he act on the bolt?
17. Content area and percents
Determine what percentage is smaller cube surface, when the surface area of the wall decreases by 25%.