Magnified cube

If the lengths of the cube's edges are extended by 5 cm, its volume will increase by 485 cm3. Determine the surface of both the original and the magnified cube.

Correct answer:

S1 =  54 cm2
S2 =  384 cm2

Step-by-step explanation:

(a+5)3=a3+485 a3+15 a2+75 a+125=a3+485=33+485=485  15a2+75a+125=485  15 a2+75 a+125=485 15a2+75a360=0  p=15;q=75;r=360 D=q24pr=752415(360)=27225 D>0  a1,2=q±D2p=75±2722530 a1,2=75±16530 a1,2=2.5±5.5 a1=3 a2=8   Factored form of the equation:  15(a3)(a+8)=0 a=a1=3  S1=6 a2=6 32=54 cm2

Our quadratic equation calculator calculates it.

S2=6 (a+5)2=6 (3+5)2=384 cm2



Did you find an error or inaccuracy? Feel free to write us. Thank you!



avatar




Tips to related online calculators
Looking for help with calculating roots of a quadratic equation?
Do you have a linear equation or system of equations and looking for its solution? Or do you have a quadratic equation?
Tip: Our volume units converter will help you with the conversion of volume units.

Related math problems and questions:

  • Cube surface and volume
    cube_diagonals The surface of the cube is 500 cm2, how much cm3 will be its volume?
  • Cube 6
    cubes Volume of the cube is 216 cm3, calculate its surface area.
  • The cube
    cubes The cube has a surface area of 486 m ^ 2. Calculate its volume.
  • Cube
    cube2 The sum of lengths of cube edges is 57 cm. What is its surface and volume?
  • Area to volume
    two_cubes If the surface area of a cube is 486, find its volume.
  • Prism X
    Cuboid_simple The prism with the edges of the lengths x cm, 2x cm, and 3x cm has volume 20250 cm3. What is the area of the surface of the prism?
  • Two boxes-cubes
    3-kostky Two boxes cube with edges a=38 cm and b = 81 cm is to be replaced by one cube-shaped box (same overall volume). How long will be its edge?
  • The cube
    cube_in_sphere The cube has a surface of 600 cm2. What is its volume?
  • Cube surfce2volume
    cube_shield Calculate the volume of the cube if its surface is 150 cm2.
  • Cuboid edges in ratio
    cuboid Cuboid edges lengths are in ratio 2:4:6. Calculate their lengths if you know that the cuboid volume is 24576 cm3.
  • Balls
    steel_ball Three metal balls with volumes V1=71 cm3 V2=78 cm3 and V3=64 cm3 melted into one ball. Determine it's surface area.
  • Cube volume
    cube6 The cube has a surface of 384 cm2. Calculate its volume.
  • Cuboid and ratio
    cuboid Find the dimensions of a cuboid having a volume of 810 cm3 if the lengths of its edges coming from the same vertex are in ratio 2: 3: 5
  • The cube
    cube_shield The cube has a surface area of 216 dm2. Calculate: a) the content of one wall, b) edge length, c) cube volume.
  • Volume and area
    cubes What is the volume of a cube which has an area of 361 cm2?
  • Cube edge
    cubes Determine the edges of the cube when the surface is equal to 37.5 cm square.
  • Cube zoom
    krychle How many percents do we increase the volume and surface of the cube if we magnify its edge by 38 %?