Cube root + length - math problems

Number of problems found: 30

  • Cube containers
    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
    The cube has a surface area of 216 dm2. Calculate: a) the content of one wall, b) edge length, c) cube volume.
  • Two rectangular boxes
    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.
  • 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
  • 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 diagonals
    Calculate the length of the side and the diagonals of the cube with a volume of 27 cm3.
  • Body diagonal
    Calculate the cube volume, whose body diagonal size is 75 dm. Draw a picture and highlight the body diagonal.
  • Minimum surface
    Find the length, breadth, and height of the cuboid-shaped box with a minimum surface area, into which 50 cuboid-shaped blocks, each with length, breadth, and height equal to 4 cm, 3 cm, and 2 cm respectively, can be packed.
  • Big cube
    Calculate the surface of the cube, which is composed of 64 small cubes with an edge 1 cm long.
  • Calculate
    Calculate the length of the wall diagonal of the cube with an edge 5 cm long.
  • Body diagonal
    The cuboid has a volume of 32 cm3. Its side surface area is double as one of the square bases. What is the length of the body diagonal?
  • Tower model
    Tower height is 300 meters, weight 8000 tons. How high is the model of the tower's weight of 1 kg? (State the result in the centimeters). The model is made from exactly the same material as the original no numbers need to be rounded. A result is a three-d
  • The cube
    The surface of the cube is 150 square centimeters. Calculate: a- the content of its walls b - the length of its edges c - its volume
  • Cube 9
    What was the cube's original edge length after cutting 39 small cubes with an edge of 2 dm left 200 dm3?
  • Tetrahedral prism
    The height of a regular tetrahedral prism is three times greater than the length of the base edge. Calculate the length of the base edge, if you know that the prism volume is 2187 cm3.
  • Cube 8
    The surface of the cube is 0.54 m2. Calculate the length of the cube edge.
  • Cube containers
    Two containers shaped of cube with edges of 0.7 m and 0.9 m replace a single cube so that it has the same volume as the original two together. What is the length of the edges of the new cube?
  • For thinkings
    The glass cube dive into the aquarium, which has a length of 25 cm, width 20 cm and height of 30 cm. Aquarium water rises by 2 cm. a) What is the volume of a cube? b) How many centimeters measure its edge?
  • Cube basics
    How long is the edge length of a cube with volume 15 m3?

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