Base of house

Calculate the volume of the bases of a square house, if the base depth is 1.2 m, the width is 40 cm and their outer circumference is 40.7 m.

Result

V =  18.768 m3

Solution:

h=1.2 m s=40 cm=40/100 m=0.4 m o=40.7 m  a=o/4=40.7/4=40740=10.175 m b=a2 s=10.1752 0.4=758=9.375 m  S1=a2=10.1752103.5306 m2 S2=b2=9.375256256487.8906 m2  S=S1S2=103.530687.8906=39125=15.64 m2 V=S h=15.64 1.2=2346125=18.768 m3h=1.2 \ \text{m} \ \\ s=40 \ cm=40 / 100 \ m=0.4 \ m \ \\ o=40.7 \ \text{m} \ \\ \ \\ a=o/4=40.7/4=\dfrac{ 407 }{ 40 }=10.175 \ \text{m} \ \\ b=a - 2 \cdot \ s=10.175 - 2 \cdot \ 0.4=\dfrac{ 75 }{ 8 }=9.375 \ \text{m} \ \\ \ \\ S_{ 1 }=a^2=10.175^2 \doteq 103.5306 \ \text{m}^2 \ \\ S_{ 2 }=b^2=9.375^2 \doteq \dfrac{ 5625 }{ 64 } \doteq 87.8906 \ \text{m}^2 \ \\ \ \\ S=S_{ 1 }-S_{ 2 }=103.5306-87.8906=\dfrac{ 391 }{ 25 }=15.64 \ \text{m}^2 \ \\ V=S \cdot \ h=15.64 \cdot \ 1.2=\dfrac{ 2346 }{ 125 }=18.768 \ \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...):

Showing 0 comments:
1st comment
Be the first to comment!
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?

Next similar math problems:

  1. Aquarium
    akvarium Aquarium is rectangular box with square base containing 76 liters of water. Length of base edge is 42 cm. To what height the water level goes?
  2. Aquarium
    akvarko The box-shaped aquarium is 40 cm high; the bottom has dimensions of 70 cm and 50 cm. Simon wanted to create an exciting environment for the fish, so he fixed three pillars to the bottom. They all have the shape of a cuboid with a square base. The base edge
  3. Find the
    cuboid_16 Find the volume of a quadrangle prism high 2dm whose base is a square with a side 15cm.
  4. Cylindrical tank 2
    watertank_3 If a cylindrical tank with volume is used 12320cm raised to the power of 3 and base 28cm is used to store water. How many liters of water can it hold?
  5. Tetrapack
    tetrapack How high should be the milk box in the shape of a prism with base dimensions 8 cm and 8.8 cm if its volume is 1 liter?
  6. 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?
  7. Water reservoir
    nadrz_9 The water tank has a cuboid with edges a= 1 m, b=2 m , c = 1 m. Calculate how many centimeters of water level falls, if we fill fifteen 12 liters cans.
  8. The aquarium
    akvarko_17 The aquarium has a capacity of 18 liters. What is its height when the square bottom is 8 2/3 cm long?
  9. Three-quarters of its volume
    bazen2 The pool has a block shape with a length of 8m, a width of 5.3m and a depth of 1.5m. How many hl of water is in it if it is filled to three-quarters of its volume?
  10. Rectangular prism
    kvader11_2 If i have a rectangular prism with a length of 1,000 cm, width of 30 cm and a height of 50 cm, what is the volume?
  11. 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?
  12. Fire tank
    pool_3 How deep is the fire tank with the dimensions of the bottom 7m and 12m, when filled with 420 m3 of water?
  13. 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?
  14. 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?
  15. Two cuboids
    cuboid_13 Find the volume of cuboidal box whose one edge is: a) 1.4m and b) 2.1dm
  16. The shop
    lahev The shop has 3 hectoliters of water. How many liter bottles is it?
  17. Customary length
    inch Convert length 65yd 2 ft to ft