Three cubes

The body was created by gluing three identical cubes. Its volume is 192 cm3. What is its surface in dm2?

Correct result:

S =  2.24 dm2

Solution:

V=192 cm3 V1=V/3=192/3=64 cm3 a=V13=643=4 cm a2=a/10=4/10=25=0.4 dm S1=a22=0.42=425=0.16 dm2 S=3⋅ 6⋅ S1−4⋅ S1=3⋅ 6⋅ 0.16−4⋅ 0.16=5625=2.24 dm2V=192 \ \text{cm}_{3} \ \\ V_{1}=V/3=192/3=64 \ \text{cm}^3 \ \\ a=\sqrt[3]{ V_{1}}=\sqrt[3]{ 64 }=4 \ \text{cm} \ \\ a_{2}=a/10=4/10=\dfrac{ 2 }{ 5 }=0.4 \ \text{dm} \ \\ S_{1}=a_{2}^2=0.4^2=\dfrac{ 4 }{ 25 }=0.16 \ \text{dm}^2 \ \\ S=3 \cdot \ 6 \cdot \ S_{1} - 4 \cdot \ S_{1}=3 \cdot \ 6 \cdot \ 0.16 - 4 \cdot \ 0.16=\dfrac{ 56 }{ 25 }=2.24 \ \text{dm}^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
Do you know the volume and unit volume, and want to convert volume units?

You need to know the following knowledge to solve this word math problem:

Next similar math problems:

  • Rainfall
    rain_2 The annual average rainfall in India was in Cherrapunji in the year 1981 26 461 mm. How many hectoliters of water fell on 1 m2? Would fit this amount of water into a cube of three meters?
  • Cubes
    rubik_cube Cube, which consists of 27 small cubes with edge 4 dm has volume:
  • Cube volume
    cube6 The cube has a surface of 384 cm2. Calculate its volume.
  • Cube walls
    cubes2_9 Find the volume and the surface area of the cube if the area of one of its walls is 40 cm2.
  • Surface of the cube
    cubes3 Find the surface of the cube that has volume 1/1m3 2/0.001 m3 3/8000 mm3
  • Garden pond
    half_circle_pool Concrete garden pond has bottom shape of a semicircle with a diameter 1.7 m and is 79 cm deep. Daddy wants make it surface. How many liters of water is in pond if watel level is 28 cm?
  • Sphere VS
    gule Find the surface and volume of a sphere that has a radius of 2 dm.
  • Cone area and side
    cone_2 Calculate the surface area and volume of a rotating cone with a height of 1.25 dm and 17,8dm side.
  • Cube and water
    krychle_3 How many liters of water can fit into a cube with an edge length of 0.11 m?
  • Water level
    grp-gridimage-77cb37 The glass container has a cuboid shape with dimensions of the bottom 24 cm and 12 cm. The height of water is 26 cm. Calculate the volume of the body, which are sunk into the water if the water level rise by 3 cm.
  • Water level
    hladina.JPG How high reaches the water in the cylindrical barell with a diameter of 12 cm if there is a liter of water? Express in cm with an accuracy of 1 decimal place.
  • Total displacement
    stroke_bore_engine Calculate total displacement of the 4-cylinder engine with the diameter of the piston bore B = 6.6 cm and stroke S=2.4 cm of the piston. Help: the crankshaft makes one revolution while the piston moves from the top of the cylinder to the bottom and back
  • Water well
    studna Drilled well has a depth 20 meters and 0.1 meters radius. How many liters of water can fit into the well?
  • Reservoir 3
    water_11 How many cubic feet of water is stored in the reservoir that has a length of 200 feet, a width of 100 feet, an overflow depth of 32 feet, and a current water level of 24 feet?
  • Inscribed
    koule_krychle_1 Cube is inscribed in the cube. Determine its volume if the edge of the cube is 10 cm long.
  • Conva
    konva_1 How many liters of water fit into the shape of a cylinder with a bottom diameter 20 cm and a height 45 cm?
  • Combine / add term
    combine Combine like terms 4c+c-7c