Square metal sheet

Four squares of 300 mm side were cut out from a square sheet metal plate with a side of 0,7 m. Express the fraction and the percentage of waste from the square metal sheet.

Correct result:

f =  0.265
p =  26.5 %

Solution:

a=0.7 m b=300 mm→m=300/1000 m=0.3 m  S1=a2=0.72=49100=0.49 m2 S2=4⋅ b2=4⋅ 0.32=925=0.36  o=S1−S2=0.49−0.36=13100=0.13 m2 f=oS1=0.130.49=1349=0.265a=0.7 \ \text{m} \ \\ b=300 \ mm \rightarrow m=300 / 1000 \ m=0.3 \ m \ \\ \ \\ S_{1}=a^2=0.7^2=\dfrac{ 49 }{ 100 }=0.49 \ \text{m}^2 \ \\ S_{2}=4 \cdot \ b^2=4 \cdot \ 0.3^2=\dfrac{ 9 }{ 25 }=0.36 \ \\ \ \\ o=S_{1}-S_{2}=0.49-0.36=\dfrac{ 13 }{ 100 }=0.13 \ \text{m}^2 \ \\ f=\dfrac{ o }{ S_{1} }=\dfrac{ 0.13 }{ 0.49 }=\dfrac{ 13 }{ 49 }=0.265
p=100⋅ f=100⋅ 0.2653=532=26.5%p=100 \cdot \ f=100 \cdot \ 0.2653=\dfrac{ 53 }{ 2 }=26.5 \%

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
Need help calculate sum, simplify or multiply fractions? Try our fraction calculator.
Our percentage calculator will help you quickly calculate various typical tasks with percentages.

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:

  • Cutting square
    circle22 From a square with a side of 30 cm, we cut the circle with the highest possible diameter. How many percents of the square content is this circle?
  • Cutting circles
    circles2_2 From the square 1 m side we have to cut the circles with a radius of 10 cm. How many discs we cut and how many percent will be waste?
  • Content area and percents
    squares_8 Determine what percentage is smaller cube surface, when the surface area of the wall decreases by 25%.
  • Apples 14
    jablka_16 Maya bought 18 apples. She used 50% of the apples to make apple pies and 1/3 of the apples was mixed with other fruits to make salad. How many apples were left?
  • Reward
    metals Janko and Peter divided the reward from the brigade so that Peter got 5/8 of the reward. What percentage of Janko's reward got?
  • Persons
    ball1_6 Persons surveyed:100 with result: Volleyball=15% Baseball=9% Sepak Takraw=8% Pingpong=8% Basketball=60% Find the average how many like Basketball and Volleyball. Please show your solution.
  • The Chemistry test
    test The Chemistry test contained 8 questions, each with 3 points. Peter scored 21 points. How many percent did Peter write a test?
  • Highway repair
    truck_6 The highway repair was planned for 15 days. However, it was reduced by 30%. How many days did the repair of the highway last?
  • Cllub flag
    flg The children had the club flag sewn on. The red color covered 2/20 of the total area of the flag, the blue area a fifth, the yellow 19% of the total area. What% is the green area occupied?
  • A cloth
    flowers2 There are flower cloth 495 meters, white cloth 330 meters. What is the percentage of white cloth? How much is white cloth less than flower cloth?
  • Summerjob
    tree2 The temporary workers planted new trees. Of the total number of 500 seedlings, they managed to plant 426. How many percents did they meet the daily planting limit?
  • Profit gain
    percent_12 If 5% more is gained by selling an article for Rs. 350 than by selling it for Rs. 340, the cost of the article is:
  • Percents
    percents2_10 How many percents is 900 greater than the number 750?
  • What percent
    percent What percent of 51 3/5 is 47 2/5?
  • Walking
    cargo_truck_5 Of the 450 students at the school, 432 walks to school. What percentage is this?
  • Percentages
    permutations_3_3 52 is what percent of 93?
  • Art school
    skola_1 Every fifth pupil 9A goes to art school. How many percent of pupils in class 9A go to art school?