Cubes

Carol with cut bar 12 cm x 12 cm x 135 cm to the cubes. Find the sum of all the surfaces of the resulting cubes.

Result

S =  38880 cm2

Solution:

n1=135/12=454=11.25 12=223 135=335 GCD(12,12,135)=3  a=GCD(12,12,135)=3 V=12 12 135=19440 n=V/a3=19440/33=720 S1=6 a2=6 32=54 S=n S1=720 54=38880 cm2n_{1}=135/12=\dfrac{ 45 }{ 4 }=11.25 \ \\ 12=2^2 \cdot 3 \ \\ 135=3^3 \cdot 5 \ \\ \text{GCD}(12, 12, 135)=3 \ \\ \ \\ a=GCD(12,12,135)=3 \ \\ V=12 \cdot \ 12 \cdot \ 135=19440 \ \\ n=V / a^3=19440 / 3^3=720 \ \\ S_{1}=6 \cdot \ a^2=6 \cdot \ 3^2=54 \ \\ S=n \cdot \ S_{1}=720 \cdot \ 54=38880 \ \text{cm}^2



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!





Leave us a comment of this math problem and its solution (i.e. if it is still somewhat unclear...):

Showing 0 comments:
1st comment
Be the first to comment!
avatar




Tips to related online calculators
Do you want to calculate least common multiple two or more numbers?
Do you want to calculate greatest common divisor two or more numbers?
Do you want to convert length units?

Next similar math problems:

  1. Tailor
    oblek2 From the rest of the cloth tailor could cut off either 3 m in men's suits without vest or 3.6 m with vest. What shortest possible length could the rest of the cloth have? How many suits a) without a vest b) with vest could make the tailor from the re
  2. Gears
    ozub_kola The gearing fits wheel with 20 teeth to the wheel with 36 teeth. Before starting the machine is stained tooth smaller wheels in the designated space between the teeth of the larger wheels. How many times after starting the machine wheels turning that stain
  3. Lcm simple
    lcm_gears Find least common multiple of this two numbers: 140 175.
  4. Dressmaker
    singer Dressmaker left a piece of canvas shorter than 5 meters. She is deciding whether it sew a skirt or dress. The canvas was exactly as much as they consumed had cut up her skirt to 120 cm, or 180 centimeters dress. What a piece of canvas left her?
  5. Dividing
    plot2_2 Divide the three line segment 13 cm, 26 cm and 19.5 cm long for parts so that the individual parts were equally long and longest. How long will the individual parts and how many it will?
  6. Steps
    steps Walkway from the house to the school is 180 m long. How many more steps Michael makes than his father on the way to school, if the length of Michael's step is 60 cm and the length of his father's step is 90 cm.
  7. School books
    sesity At the beginning of the school year, the teacher distributed 480 workbooks and 220 textbooks. How many pupils could have the most in the classroom?
  8. The port
    port Four ships Berthed in the port. Together sail from a port. The first ship will return to port every two weeks, second ship after 4 weeks, third after 8 weeks and fourth ship after 12 weeks. After how many weeks all the boats gather at the port?
  9. Gearing
    prevod Gearing consists of two wheels, one is 88 and second 56 teeth. How many times turns smaller wheel to fit the same teeth as in the beginning? How many times will turn biggest wheel?
  10. Ships
    Ever_Given_container_ship Red ship begins its circuit every 30 minutes. Blue boat begins its circuit every 45 minutes. Both ships begin their sightseeing circuit in the same place at the same time always at 10:00 o'clock. a / What time does meet boat again? b / How many times a d
  11. Janka and Danka
    books_3 Janka and Danka began to read the same day the books. Janka had 276 pages, Danka 204 pages. They agreed that both read every day the same number of pages until theirs books read. A) How many maximum pages they had to read the day to honor their agreement
  12. Plum
    plumbs_1 On the platter are plum. How many were there if its have to be able to share equally among 8,10 and 12 children?
  13. Steps
    steps_2 Peter makes steps long 70 cm, John 45 cm long. After how many meters their footsteps meet?
  14. Bicycle wheels
    kolo_1 Driving wheel of a bicycle has 54 teeth. The driven wheel has 22 teeth. After how many revolutions will meet the same teeth?
  15. Counting number
    numbers2_49 What is the smallest counting number divisible by 2,5,7,8 and 15?
  16. Balls groups
    gulky_5 Karel pulled the balls out of his pocket and divide it into the groups. He could divide them in four, six or seven, and no ball ever left. How little could be a ball?
  17. School
    ratios_2 Headteacher think whether the distribution of pupils in race in groups of 4,5,6,9 or 10. How many pupils must have at least school at possible options?