Third power + cube - math problems

Number of problems found: 84

  • Perfect cube
    cube-root Which of the following number is not a perfect cube? a. 64 b. 729 c. 800 d. 1331
  • Height of a cube
    cube_shield What is the volume of a cube if the height is 5cm.
  • Cube-shaped box
    milk The cube-shaped box is filled to the brim with 2 liters of milk. Calculate the edge and surface of the box.
  • Three cubes
    cubes3 Two cube-shaped boxes with edges a = 70 cm; b = 90 cm must be replaced by one cube-shaped box. What will be its edge?
  • Present value
    exp_growth A bank loans a family $90,000 at 4.5% annual interest rate to purchase a house. The family agrees to pay the loan off by making monthly payments over a 15 year period. How much should the monthly payment be in order to pay off the debt in 15 years?
  • The cube
    cube_in_sphere The cube has a surface of 600 cm2. What is its volume?
  • If the 3
    sequence_geo If the 6th term of a GP is 4 and the 10th is 4/81, find common ratio r.
  • Cube V2S
    cube_shield The volume of the cube is 27 dm cubic. Calculate the surface of the cube.
  • Derivative problem
    derive The sum of two numbers is 12. Find these numbers if: a) The sum of their third powers is minimal. b) The product of one with the cube of the other is maximal. c) Both are positive and the product of one with the other power of the other is maximal.
  • Cube surfce2volume
    cube_shield Calculate the volume of the cube if its surface is 150 cm2.
  • Cuboid to cube
    cube_shield A cuboid with dimensions of 9 cm, 6 cm, and 4 cm has the same volume as a cube. Calculate the surface of this cube.
  • 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.
  • Eight
    sphere_in_cube Eight small Christmas balls with a radius of 1 cm have the same volume as one large Christmas ball. What has a bigger surface: eight small balls, or one big ball?
  • Magnified cube
    cube_in_sphere 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.
  • An example
    cubes3 An example is playfully for grade 6 from Math and I don't know how to explain it to my daughter when I don't want to use the calculator to calculate the cube root. Thus: A cuboid was made from a block of 16x18x48 mm of modeline. What will be the edge of t
  • 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
  • Wall thickness
    sphere_Nickel The hollow metal ball has an outside diameter of 40 cm. Determine the wall thickness if the weight is 25 kg and the metal density is 8.45 g/cm3.
  • One third power
    cube-root Which equation justifies why ten to the one-third power equals the cube root of ten?
  • Length of the edge
    cube_shield Find the length of the edge of a cube with a cm2 surface and a volume in cm3 expressed by the same number.
  • Alien ship
    cube_in_sphere The alien ship has the shape of a sphere with a radius of r = 3000m, and its crew needs the ship to carry the collected research material in a cuboid box with a square base. Determine the length of the base and (and height h) so that the box has the large

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Third power - math problems. Cube Problems.