Three-quarters of its volume

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?

Correct result:

V =  477 hl

Solution:

a=8 m b=5.3 m c=1.5 m  V1=a⋅ b⋅ c=8⋅ 5.3⋅ 1.5=3185=63.6 m3 V2=V1→hl=V1⋅ 10 hl=63.6⋅ 10 hl=636 hl  V=34⋅ V2=34⋅ 636=477 hla=8 \ \text{m} \ \\ b=5.3 \ \text{m} \ \\ c=1.5 \ \text{m} \ \\ \ \\ V_{1}=a \cdot \ b \cdot \ c=8 \cdot \ 5.3 \cdot \ 1.5=\dfrac{ 318 }{ 5 }=63.6 \ \text{m}^3 \ \\ V_{2}=V_{1} \rightarrow hl=V_{1} \cdot \ 10 \ hl=63.6 \cdot \ 10 \ hl=636 \ hl \ \\ \ \\ V=\dfrac{ 3 }{ 4 } \cdot \ V_{2}=\dfrac{ 3 }{ 4 } \cdot \ 636=477 \ \text{hl}

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

You need to know the following knowledge to solve this word math problem:


 
We encourage you to watch this tutorial video on this math problem: video1

Next similar math problems:

  • 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?
  • A swiming
    water2 A swiming pool holds 30000lt of water. How many gallons does it hold? 1 gallon= 4.55lt
  • Children's pool
    bazen2_17 Children's pool at the swimming pool is 10m long, 5m wide and 50cm deep. Calculate: (a) how many m2 of tiles are needed for lining the perimeter walls of the pool? (b) how many hectoliters of water will fit into the pool?
  • The tank
    hranol4sreg_5 The tank has 1320 liters of water. The tank has the shape of a prism, its base is an rectangle with sides a = 0,6 m and b = 1,5 m. How high does the water level reach in the tank?
  • Rain
    rain Garden shape of a rectangle measuring 15 m and 20 m rained water up to 3 mm. How many liters of water rained on the garden?
  • 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?
  • 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?
  • Rainfall
    rain_6 A rectangular garden of 25m in length and width 20m in width fall 4mm of water. Express by a fraction in basic form what part of the 60-hectolitre tank we would fill with this water.
  • Water tank
    cuboid_22 What is the height of the cuboid-shaped tank with the bottom dimensions of 80 cm and 50 cm if the 480 liters of water reaches 10 cm below the top?
  • 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?
  • 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?
  • 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?
  • 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.
  • Milk package
    madeta Milk is sold in a box with dimensions of 9.5 cm; 16.5 cm and 6.5 cm. Determine the maximum amount of milk that can fit into a box. Coating thickness is negligible.
  • Two cuboids
    cuboid_13 Find the volume of cuboidal box whose one edge is: a) 1.4m and b) 2.1dm
  • The shop
    lahev The shop has 3 hectoliters of water. How many liter bottles is it?
  • Water tank
    nadrz 300hl of water was filled into the tank 12 m long and 6 m wide. How high does it reach?