Cube root + third power - math problems

Number of problems found: 54

  • Perfect cube
    Which of the following number is not a perfect cube? a. 64 b. 729 c. 800 d. 1331
  • Cube-shaped box
    The cube-shaped box is filled to the brim with 2 liters of milk. Calculate the edge and surface of the box.
  • Three cubes
    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?
  • Cube V2S
    The volume of the cube is 27 dm cubic. Calculate the surface of the cube.
  • Derivative problem
    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
    Calculate the volume of the cube if its surface is 150 cm2.
  • Cuboid to cube
    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.
  • Eight
    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
    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
    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
    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
    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
    Which equation justifies why ten to the one-third power equals the cube root of ten?
  • Length of the edge
    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
    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
  • Three members GP
    The sum of three numbers in GP (geometric progression) is 21 and the sum of their squares is 189. Find the numbers.
  • Cube into cylinder
    If we dip a wooden cube into a barrel with a 40cm radius, the water will rise 10 cm. What is the size of the cube edge?
  • Cube root
    For 13, Sam wrote 2891 instead of the correct cube number. By how much was he wrong?
  • Perfect cubes
    Suppose a number is chosen at random from the set (0,1,2,3,. .. ,202). What is the probability that the number is a perfect cube?
  • The volume 2
    The volume of a cube is 27 cubic meters. Find the height of the cube.

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Cube root - math problems. Third power - math problems.