Cuboid - Vab

Find the surface of the cuboid when its volume is 52.8 cubic centimeters, and the length of its two edges is 2 centimeters and 6 centimeters.

Result

S =  94.4 cm2

Solution:

V=52.8 cm3 a=2 cm b=6 cm  S1=a⋅ b=2⋅ 6=12 cm2 c=V/S1=52.8/12=225=4.4 cm S=2⋅ S1+2⋅ c⋅ (a+b)=2⋅ 12+2⋅ 4.4⋅ (2+6)=4725=94.4=94.4 cm2V = 52.8 \ cm^3 \ \\ a = 2 \ cm \ \\ b = 6 \ cm \ \\ \ \\ S_{ 1 } = a \cdot \ b = 2 \cdot \ 6 = 12 \ cm^2 \ \\ c = V/S_{ 1 } = 52.8/12 = \dfrac{ 22 }{ 5 } = 4.4 \ cm \ \\ S = 2 \cdot \ S_{ 1 } + 2 \cdot \ c \cdot \ (a+b) = 2 \cdot \ 12 + 2 \cdot \ 4.4 \cdot \ (2+6) = \dfrac{ 472 }{ 5 } = 94.4 = 94.4 \ cm^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!





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
Tip: Our volume units converter will help you with the conversion of volume units.

Following knowledge from mathematics are needed to solve this word math problem:

Next similar math problems:

  1. Surface of cuboid
    kvader11_9 Find the surface of the cuboid if its volume is 52.8 cm3 and the length of its two edges is 2 cm and 6 cm.
  2. Prism 4 sides
    kvader11_5 Find the surface area and volume four-sided prism high 10cm if its base is a rectangle measuring 8 cm and 1.2dm
  3. Cuboid surface
    cuboid_4 Determine surface area of cuboid if its volume is 52.8 cm cubic and length of the two edges are 2 cm and 6 cm.
  4. Cuboid
    cuboid_12 Cuboid has a surface of 516 cm2. Side a = 6 cm and b = 12 cm. How long is the side c =?
  5. Cuboid - simple
    cuboid_6 Calculate the surface area and volume of a cuboid if a = 8 cm, b = 14 cm and c = 6 cm.
  6. Pool coating
    basen_work How many pieces of tiles 25 cm × 15 cm need to coat the bottom and side walls of the pool with bottom dimensions 30 m × 5 m, if the pool can fit up to 271500 liters of water?
  7. Fire tank
    pool_3 How deep is the fire tank with the dimensions of the bottom 7m and 12m, when filled with 420 m3 of water?
  8. Concrete pillar
    hranol_4bok_pravidelny How many m³ of concrete is needed for the construction of the pillar shape of a regular tetrahedral prism, when a = 60 cm and the height of the pillar is 2 meters?
  9. Third dimension
    star_1 Calculate the third dimension of the cuboid: a) V = 224 m3, a = 7 m, b = 4 m b) V = 216 dm3, a = 9 dm, c = 4 dm
  10. Wood planks
    fosny 1 m3 of wood planks costs 179 EUR. How much will I pay for 11 planks measuring 6 cm, 10 cm and 6 m?
  11. Cuboid
    Cuboid_BBC How many times will increase the volume of a cuboid, if one dimension is twice larger, second dimension three times larger and third dimension four times lower?
  12. Hectoliters
    hl How many hectoliters of water fits into cuboid tank with dimensions of a = 3.5 m b = 2.5 m c = 1.4 m?
  13. A cylindrical tank
    tanks_8 A cylindrical tank can hold 44 cubic meters of water. If the radius of the tank is 3.5 meters, how high is the tank?
  14. Hotel
    hotel The hotel has a p floors each floor has i rooms from which the third are single and the others are double. Represents the number of beds in hotel.
  15. Simplify
    numbers3_1 Simplify the following problem and express as a decimal: 5.68-[5-(2.69+5.65-3.89) /0.5]
  16. Expression
    expr_2 Solve for a specified variable: P=a+4b+3c, for a
  17. Alley
    stromy_6 Alley measured a meters. At the beginning and end are planted poplar. How many we must plant poplars to get the distance between the poplars 15 meters?