The pool

The cube-shaped pool has 140 cubic meters of water. Determine the dimensions of the bottom if the depth of the water is 200 cm and one dimension of the bottom is 3 m greater than the other. What are the dimensions of the pool bottom?

Correct answer:

a =  10 m
b =  7 m

Step-by-step explanation:


Our quadratic equation calculator calculates it.

b=a−3=10−3=7 m

Try another example


Did you find an error or inaccuracy? Feel free to write us. Thank you!



avatar




Tips to related online calculators
Looking for help with calculating roots of a quadratic equation?
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

Related math problems and questions:

  • Swimming pool
    basen The pool shape of a cuboid is 299 m3 full of water. Determine the dimensions of its bottom if the water depth is 282 cm and one bottom dimension is 4.7 m greater than the second.
  • Tray
    vanicka What 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.
  • Hexagonal prism 2
    hranol6b The regular hexagonal prism has a surface of 140 cm2 and height of 5 cm. Calculate its volume.
  • Swimming pool 4
    bazen 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?
  • Water reservoir
    water_tower The cuboid reservoir contains 1900 hectoliters of water and the water height is 2.5 m. Determine the dimensions of the bottom where one dimension is 3.2 m longer than the second one.
  • Rectangle
    obdlznik The length of the rectangle is 12 cm greater than 3 times its width. What dimensions and area this rectangle has if ts circumference is 104 cm.
  • Cuboid - volume and areas
    cuboid The cuboid has a volume of 250 cm3, a surface of 250 cm2, and one side 5 cm long. How do I calculate the remaining sides?
  • 3rd dimension
    kvader The block has a surface of 42 dm2 and its dimensions are 3 dm and 2 dm. What is the third dimension?
  • Uboid volume
    cuboid Calculate the cuboid volume if the walls are 30cm², 35cm², 42cm²
  • Cuboid walls
    cuboid Calculate the cuboid volume if its different walls have an area of 195cm², 135cm², and 117cm².
  • Garden pool
    basen Mr. Novak fill garden pool (cylinder; diameter of 200 cm) with 31.4 hl of water. What is the depth of the pool when the water level is 10 cm below the upper edge of the pool?
  • The rainwater
    water 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
    cuboid 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?
  • Cuboid and ratio
    cuboid Find the dimensions of a cuboid having a volume of 810 cm3 if the lengths of its edges coming from the same vertex are in ratio 2: 3: 5
  • Water level
    cubes3.png 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?
  • Area and perimeter of rectangle
    rectnagles The content area of the rectangle is 3000 cm2, one dimension is 10 cm larger than the other. Determine the perimeter of the rectangle.
  • The Scout Tent
    jehlan_4b_obdelnik The Scout Tent has a rectangular wooden underlay with dimensions of 220 cm and 150 cm. How much canvas is needed for a 170 cm high pyramid roof?