Water tank

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?

Correct answer:

c =  130 cm

Step-by-step explanation:

$$\begin{gathered} V=480\text{ l}\to {\text{cm}}^3=480\cdot 1000{\text{cm}}^3=480000{\text{cm}}^3 \\ a=80\text{ cm } \\ b=50\text{ cm } \\ {S}_1=a\cdot b=80\cdot 50=4000{\text{cm}}^2 \\ {c}_1=V\mathrm{/}{S}_1=480000\mathrm{/}4000=120\text{ cm } \\ {c}_2=10\text{ cm } \\ c=c_1+c_2=120+10=130\text{ cm} \end{gathered}$$

Try another example

Related math problems and questions:

• Swimming pool 4
  The pool shaped cuboid measuring 12.5 m × 640 cm at the bottom is 960hl water. To what height in meters reaches the water level?
• Tank full
  2 hl of water were poured into a block-shaped tank with dimensions of 450 mm and 600 mm and a height of 900 mm. How many liters of water need to be added to keep the tank full?
• Four prisms
  Question No. 1: The prism has the dimensions a = 2.5 cm, b = 100 mm, c = 12 cm. What is its volume? a) 3000 cm² b) 300 cm² c) 3000 cm³ d) 300 cm³ Question No.2: The prism base is a rhombus with a side length of 30 cm and a height of 27 cm. The height of t
• Flowerpot
  The block-shaped flowerpot has external dimensions: length 1.25 m, width 10 cm, and height 11 cm. The thickness of the boards from which it is made is 0.8 cm. How many liters of soil is needed to fill it 1 cm below the top edge? What surface do we have to
• The rainwater
  The rainwater container has the shape of a block whose bottom has dimensions of 4.5 m and 3.5 m. It is partly filled with water. What is the level if there is 189 hl of water in it?
• Water tank
  300hl of water was filled into the tank 12 m long and 6 m wide. How high does it reach?
• Water level
  To cuboid-shaped poll, bottom size 2m and 3.5m; flows water at a rate of 50 liters per minute. How long will it take for water to reach level 50 cm?
• Aquarium
  Find how many dm² of glass we need to make a block-shaped aquarium (the top is not covered) if the dimensions of the aquarium are to be: width 50 cm, length 120 cm, and height 8.5 dm.
• Water tank
  The water tank has a cylindrical shape with a base diameter of 4.2 m and is 80 cm deep. How many minutes will take fill it 10 cm below the edge of the tank if water flowing 2 liters per second?
• Aquarium 6
  How high is the water level in the aquarium with a rectangular base 40cm and 50cm if it is filled 0,65hl of water?
• Cylinder
  The cylinder-shaped container has 80 liters of water. The water reaches 45 cm height. How many water liters will be in a container if the water level extends to a height of 72 cm? Write the result in liters, write down only as a whole or decimal number.
• Water pool
  What water level is in the pool shaped cuboid with bottom dimensions of 25 m and 10 meters, when is 3750hl water in the pool.
• Water level
  How many cm will the water level in a cube-shaped tank with an edge of 3 m drop if we discharge 189 hl of water?
• Water tank
  Water tank shape of cuboid has dimensions of the bottom 7.5 meters and 3 meters. How high will reach the water in the tank will flow 10 liters of water per second and the inflow will be open 5/6 hour? (Calculate to one decimal place and the results give i
• Aquarium height
  How high does the water in the aquarium reach, if there are 36 liters of water in it? The length of the aquarium is 60 cm and the width is 4 dm.
• Aquarium
  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
• Collect rain water
  The garden water tank has a cylindrical shape with a diameter of 80 cm and a height of 12 dm. How many liters of water will fit into the tank?