Children pool

The bottom of the children's pool is a regular hexagon with a = 60 cm side. The distance of opposing sides is 104 cm, the height of the pool is 45 cm.
A) How many liters of water can fit into the pool?
B) The pool is made of a double layer of plastic film. How many m2 of foil do you need to make one pool?

Correct answer:

V =  421.2 l
S =  5.112 m2

Step-by-step explanation:

a=60/10=6 dm x=104/10=525=10.4 dm h=45/10=92=4.5 dm v=x/2=10.4/2=265=5.2 S1=a v/2=6 5.2/2=785=15.6 dm2 S6=6 S1=6 15.6=4685=93.6 dm2 V=S6 h=93.6 4.5=21065=21065 l=421.2 l
o=6 a=6 6=36 dm S=2 (S6+o h)/100=2 (93.6+36 4.5)/100=639125=639125 m2=5.112 m2

We will be pleased if You send us any improvements to this math problem. Thank you!


Tips to related online calculators
Do you want to convert area units?
Do you want to convert length units?
Do you know the volume and unit volume, and want to convert volume units?
See also our trigonometric triangle calculator.
Try conversion angle units angle degrees, minutes, seconds, radians, grads.

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

Related math problems and questions:

  • Conva
    konva_1 How many liters of water fit into the shape of a cylinder with a bottom diameter 20 cm and a height 45 cm?
  • The cuboid
    nadrz The cuboid is full 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?
  • Swimming pool 4
    bazen_1 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?
  • Pool
    bazen Mr. Peter builds a pool shape of a four-sided prism with a rhombus base in the garden. Base edge length is 8 m, the distance of the opposite walls of the pool is 7 m. The estimated depth is 144 cm. How many hectoliters of water consume Mr. Peter to fill t
  • Pool coating
    basen_work How many tiles 25 cm × 15 cm need to coat the bottom and sidewalls of the pool with bottom dimensions 30 m × 5 m, if the pool can fit up to 271500 liters of water?
  • Concrete box
    truhlik The concrete box with walls thick 7 cm has the following external dimensions: length 1.8 m, width 44 cm and height 46 cm. How many liters of soil can fit if I fill it to the brim?
  • Hexagonal prism
    hexa_prism The base of the prism is a regular hexagon consisting of six triangles with side a = 12 cm and height va = 10.4 cm. The prism height is 5 cm. Find the volume and surface of the prism.
  • Pool
    bazen-2-05_1 The pool has the shape of a cylinder with a diameter 4.6m, the presumed height is 130cm. The bucket fits 12l of water. How many buckets do you have to bring to fill this pool?
  • 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?
  • Four prisms
    hranol4b 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
  • Sides of triangle
    rr_triangle2 Triangle circumference with two identical sides is 117cm. The third side measures 44cm. How many cms do you measure one of the same sides?
  • 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?
  • Prism
    rhombic_prism Calculate the surface area and volume of a prism with a body height h = 10 cm, and its base has the shape of a rhomboid with sides a = 5.8 cm, b = 3 cm, and the distance of its two longer sides is w = 2.4 cm.
  • Triangular prism
    prism_4 Calculate the surface of a regular triangular prism with a bottom edge of 8.5 meters and an appropriate height of 60 meters, and prism height is 1.4 meters.
  • 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?
  • Collect rain water
    valec2_14 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?
  • Cuboid box
    box How many m2 paper is needed for the sticking cuboid box of dimensions 50 cm, 40 cm and 30 cm? To the folds add one-tenth the area.