Volume + cube root - math problems

Number of problems found: 66

  • Regular square prism
    cuboid_3colors The volume of a regular square prism is 192 cm3. The size of its base edge and the body height is 1: 3. Calculate the surface of the prism.
  • 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?
  • Cube containers
    cubes3 Replace the two cube-shaped containers with 0.8 dm and 0.6 dm edges with a single cube-shaped one so that it has the same volume as the two original ones together. What is the length of the edge of this cube?
  • The cube
    cube_in_sphere The cube has a surface of 600 cm2. What is its volume?
  • Cube V2S
    cube_shield The volume of the cube is 27 dm cubic. Calculate the surface of the cube.
  • Thousand balls
    balls2 We have to create a thousand balls from a sphere with a diameter of 1 m. What will be their radius?
  • 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
  • Two rectangular boxes
    cuboid Two rectangular boxes with dimensions of 5 cm, 8 cm, 10 cm, and 5 cm, 12 cm, 1 dm are to be replaced by a single cube box of the same cubic volume. Calculate its surface.
  • The edge of a cube
    cubes How much does the edge of a cube of 54.9 cm3 measure?
  • 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.
  • 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
  • Cube into cylinder
    cube_sphere_in 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?

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