The cube

The cube has an edge of 12 dm. The second cube has an edge exactly 20% longer. How many % is more water in the second cube than in the first cube, if the first cube is full to 3/4 and the second to 3/8?

Correct result:

p =  -13.6 %

Solution:

a1=12 dm a2=(1+20100) a1=(1+20100) 12=725=14.4 dm  V1=34 a13=34 123=1296 dm3 V2=38 a23=38 14.43=1119.744 dm3  p=100 V2V1V1=100 1119.74412961296=685=13.6%a_{1}=12 \ \text{dm} \ \\ a_{2}=(1+\dfrac{ 20 }{ 100 } ) \cdot \ a_{1}=(1+\dfrac{ 20 }{ 100 } ) \cdot \ 12=\dfrac{ 72 }{ 5 }=14.4 \ \text{dm} \ \\ \ \\ V_{1}=\dfrac{ 3 }{ 4 } \cdot \ a_{1}^3=\dfrac{ 3 }{ 4 } \cdot \ 12^3=1296 \ \text{dm}^3 \ \\ V_{2}=\dfrac{ 3 }{ 8 } \cdot \ a_{2}^3=\dfrac{ 3 }{ 8 } \cdot \ 14.4^3=1119.744 \ \text{dm}^3 \ \\ \ \\ p=100 \cdot \ \dfrac{ V_{2}-V_{1} }{ V_{1} }=100 \cdot \ \dfrac{ 1119.744-1296 }{ 1296 }=- \dfrac{ 68 }{ 5 }=-13.6 \%



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:

Next similar math problems:

  • 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?
  • Art school
    skola_1 Every fifth pupil 9A goes to art school. How many percent of pupils in class 9A go to art school?
  • 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?
  • 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.
  • 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:
  • 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?
  • Percentages
    permutations_3_3 52 is what percent of 93?
  • What percent
    percent What percent of 51 3/5 is 47 2/5?
  • 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?
  • Percents
    percents2_10 How many percents is 900 greater than the number 750?
  • 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?
  • Walking
    cargo_truck_5 Of the 450 students at the school, 432 walks to school. What percentage is this?
  • Cake ingredients
    cesto The yeast cake contains milk, yeast, sugar, and flour in a ratio of 20: 4: 1: 15. What percentage of flour is in yeast?
  • Mister
    penize_49 Mister ignacio paid Php.13693.75 for a television set that originally cost Php.15,650 . Find the rate of discount. Please show your solution please please please.
  • Red diplomas
    test_16 He numbers of students with honors in 2013 and 2014 are in ratio 40:49. How big is the year-on-year percentage increase?
  • Sales tax
    penize_49 A sales tax on a Php 10,800 appliance is Php.1,620. What is the rate of sales tax?