The aquarium

The aquarium has a capacity of 18 liters. What is its height when the square bottom is 8 2/3 cm long?

Result

h =  239.645 cm

Solution:

V=18 l=18⋅ 1000 cm3=18000 cm3 a=8+23=263≐8.6667 cm  S=a2=8.66672≐6769≐75.1111 cm2  h=V/S=18000/75.1111≐239.645≐239.645 cmV=18 \ l=18 \cdot \ 1000 \ cm^3=18000 \ cm^3 \ \\ a=8 + \dfrac{ 2 }{ 3 }=\dfrac{ 26 }{ 3 } \doteq 8.6667 \ \text{cm} \ \\ \ \\ S=a^2=8.6667^2 \doteq \dfrac{ 676 }{ 9 } \doteq 75.1111 \ \text{cm}^2 \ \\ \ \\ h=V/S=18000/75.1111 \doteq 239.645 \doteq 239.645 \ \text{cm}

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!





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 know the volume and unit volume, and want to convert volume units?

Following knowledge from mathematics are needed to solve this word math problem:

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 edg
  3. Rainwater
    rain The garden area of 800 square meters fell 3mm of rainwater. How many 10 liters of water can we water this garden equally?
  4. The cuboid
    nadrz The cuboid is filled to the brim with water. The external dimensions are 95 cm, 120 cm, and 60 cm. The thickness of all walls and the bottom is 5 cm. How many liters of water fit into the cuboid?
  5. 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.
  6. Water lake
    jezirko The length of the lake water is 8 meters width 7 meters and depth 120 centimeters. How many liters of water can fit into the water lake?
  7. Circular pool
    b1 The 3.6-meter pool has a depth of 90 cm. How many liters of water is in the pool?
  8. 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?
  9. Truck of milk
    daf How many hectoliters of ,,the box" milk fit in the truck, ake cargo size area is 2.8 m x 3 m x 17 m? A liter of milk in a box measuring 12 cm x 7 cm x 20 cm.
  10. 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?
  11. Base of house
    domcek_4 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.
  12. Tank
    tank The tank bottom has dimensions of 1.5 m and 3 2/6 m. The tank is 459.1 hl of water. How high is the water surface?
  13. 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?
  14. 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?
  15. Reservoir 3
    water_11 How many cubic feet of water is stored in the reservoir that has a length of 200 feet, a width of 100 feet, an overflow depth of 32 feet, and a current water level of 24 feet?
  16. 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?
  17. Two cuboids
    cuboid_13 Find the volume of cuboidal box whose one edge is: a) 1.4m and b) 2.1dm