Cube walls

Find the volume and the surface area of the cube if the area of one of its walls is 40 cm2.

Result

V =  252.982 cm3
S =  240 cm2

Solution:

S1=40 cm2 a=S1=40≐2 10 cm≐6.3246 cm  V=a3=6.32463≐80 10≐252.9822≐252.982 cm3S_{1}=40 \ \text{cm}^2 \ \\ a=\sqrt{ S_{1} }=\sqrt{ 40 } \doteq 2 \ \sqrt{ 10 } \ \text{cm} \doteq 6.3246 \ \text{cm} \ \\ \ \\ V=a^3=6.3246^3 \doteq 80 \ \sqrt{ 10 } \doteq 252.9822 \doteq 252.982 \ \text{cm}^3
S=6⋅ S1=6⋅ 40=240 cm2S=6 \cdot \ S_{1}=6 \cdot \ 40=240 \ \text{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. Area to volume
    two_cubes_2 If the surface area of a cube is 486, find its volume.
  2. Length of the edge
    cube_shield Find the length of the edge of a cube that has a cm2 surface and a volume in cm3 expressed by the same number.
  3. Cube
    cube_diagonals_3 The sum of all cube edges is 30cm. Find the surface area of the cube.
  4. Cube 1-2-3
    cube_shield_1 Calculate the volume and surface area of the cube ABCDEFGH if: a) /AB/ = 4 cm b) perimeter of wall ABCD is 22 cm c) the sum of the lengths of all edges of the cube is 30 cm.
  5. Cube volume
    cube6 The cube has a surface of 384 cm2. Calculate its volume.
  6. Volume and area
    cubes_8 What is the volume of a cube which has area of 361 cm2?
  7. The largest
    cylinder_in_cube The largest possible cylinder was cut from a 20 cm cube. What is the volume of this cylinder?
  8. Inscribed
    koule_krychle_1 Cube is inscribed in the cube. Determine its volume if the edge of the cube is 10 cm long.
  9. Volume of cube
    cubes2_1 Solve the volume of a cube with width 26cm .
  10. The edge of a cube
    cubes How much does the edge of a cube of 54.9 cm3 measure?
  11. Cube 7
    krychle_4 Calculate the volume of a cube, whose sum of the lengths of all edges is 276 cm.
  12. Cube corners
    2cube The wooden cube with edge 64 cm was cut in 3 corners of cube with edge 4 cm. How many cubes of edge 4 cm can be even cut?
  13. Cube edges
    cube_shield_3 The sum of the lengths of the cube edges is 42 cm. Calculate the surface of the cube.
  14. Sphere VS
    gule Find the surface and volume of a sphere that has a radius of 2 dm.
  15. Regular prism
    hranol4sreg_9 The regular four-sided prism has a base of 25 cm2 and a surface of 210 cm2. Find its volume.
  16. Rotary cylinder 2
    cylinder_2 Base circumference of the rotary cylinder has same length as its height. What is the surface area of cylinder if its volume is 250 dm3?
  17. Simplify 2
    expr Simplify expression: 5ab-7+3ba-9