Pool

The prism-shaped pool is 2 m deep with a bottom of the isosceles trapezoid with base dimensions of 10 m and 18 m and arm legs 7 m long and 5.7 m long. During the spring cleaning, the bottom and walls of the pool must be painted. How many m2 of paint should be used?

Correct result:

S =  163.8 m2

Solution:

h=2 m a=10 m c=18 m b=7 m d=b=7 m h2=5.7 m  S1=(a+c)⋅ h2/2=(10+18)⋅ 5.7/2=3995=79.8 m2 o=a+b+c+d=10+7+18+7=42 m  S2=h⋅ o=2⋅ 42=84 m2 S=S1+S2=79.8+84=8195=163.8 m2h=2 \ \text{m} \ \\ a=10 \ \text{m} \ \\ c=18 \ \text{m} \ \\ b=7 \ \text{m} \ \\ d=b=7 \ \text{m} \ \\ h_{2}=5.7 \ \text{m} \ \\ \ \\ S_{1}=(a+c) \cdot \ h_{2}/2=(10+18) \cdot \ 5.7/2=\dfrac{ 399 }{ 5 }=79.8 \ \text{m}^2 \ \\ o=a+b+c+d=10+7+18+7=42 \ \text{m} \ \\ \ \\ S_{2}=h \cdot \ o=2 \cdot \ 42=84 \ \text{m}^2 \ \\ S=S_{1}+S_{2}=79.8+84=\dfrac{ 819 }{ 5 }=163.8 \ \text{m}^2

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




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   video2

Next similar math problems:

  • Triangular prism
    prism_4 Calculate the surface of a regular triangular prism with a bottom edge 8 of a length of 5 meters and an appropriate height of 60 meters and prism height is 1 whole 4 meters.
  • Metal rails
    22 Dad needs to improve the edges of the wooden boxes - to be reinforced with metal rails. How many cms of rails will he need if the box has the shape of a prism with the length of the edges 70cm 70cm and 120cm?
  • Greenhouse
    foliovnik Garden plastic greenhouse is shaped half cylinder with a diameter of 6 m and base length 20 m. At least how many m2 of plastic is need to its cover?
  • Area of ditch
    prikop How great content area will have a section of trapezoidal ditch with a width of 1.6 meters above and below 0.57 meters? The depth of the ditch is 2.08 meters.
  • Concrete pipe
    concrete_pipe Concrete pipe is cylindrical with an inner diameter 110 cm and outer 120 cm. Calculate the surface of the concrete pipe, if it is 9 m long.
  • Flowerbed
    garden_16 In the park there is a large circular flowerbed with a diameter of 12 m. Jakub circulated him ten times and the smaller Vojtoseven times. How many meters each went by and how many meters did Jakub run more than Vojta?
  • Trapezium 2
    trapezium_3 Trapezium has an area of 24 square cms. How many different trapeziums can be formed ?
  • Rhombus 4
    diamond_shape Circumference of the rhombus is 44 cm, its height is 89 mm long. Calculate its content area.
  • Circle - simple
    colorful-circle Calculate the area of a circle in dm2, if its circumference is 31.4 cm.
  • Area to perimeter
    circle11_3 Calculate circle circumference if its area is 254.34cm2
  • Acreage
    pozemek Plot has a diamond shape, its side is 25.6 m long and the distance of the opposite sides is 22.2 meters. Calculate its acreage.
  • Right triangle ABC
    right_triangle_2 Calculate the perimeter and area of a right triangle ABC, if you know the length of legs 4 cm 5.5 cm and 6.8 cm is hypotenuse.
  • Isosceles trapezoid v3
    rovnobezky_uhly In an isosceles trapezoid ABCD is the size of the angle β = 81° Determine size of angles α, γ and δ.
  • Circle r,D
    bavlnka Calculate the diameter and radius of the circle if it has length 26.59 cm.
  • Mine
    minetower Wheel in traction tower has a diameter 4 m. How many meters will perform an elevator cabin if wheel rotates in the same direction 89 times?
  • Down syndrome
    gene Down syndrome is one of the serious diseases caused by a gene mutation. Down syndrome occurs in approximately every 550-born child. Express the incidence of Down's syndrome in newborns at per mille.
  • Inequation
    inequalities Solve the inequation: 5k - (7k - 1)≤ 2/5 . (5-k)-2