Problems of the volume of a cube

Number of problems found: 162

  • 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.
  • Identical cubes
    From the smallest number of identical cubes whose edge length is expressed by a natural number, can we build a block with dimensions 12dm x 16dm x 20dm?
  • Cone from cube
    From a wooden block, 20 cm high was the turned largest possible cone. Calculate its weight if you know that the density of wood was 850 kg/m3
  • Integer cube
    The length of the cube edge is an integer. Its volume is in cm3 a five-digit number divisible by 1331. What is the length of the edge of this 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
  • 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.
  • The largest
    We cut the largest possible cylinder from a 20 cm cube. What is the volume of this cylinder?
  • The edge of a cube
    How much does the edge of a cube of 54.9 cm3 measure?
  • Surface of the cube
    Find the surface of the cube that has volume 1/1m3 2/0.001 m3 3/8000 mm3
  • 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.
  • Water container
    The cube-shaped container is filled to two-thirds of its height. If we pour 18 liters, it will be filled to three-fifths of the height. What is the volume of the whole container?
  • Container with water
    The cube-shaped container is filled with water to half its height. If we add 20 liters of water, the container will be filled to three-quarters of its height. What is the volume of the whole container?
  • A plasticine
    Jožko modeled from plasticine. He used 27g of plasticine to model a 3 cm long cube. How many grams of plasticine will it need to mold cubes with an edge of 6cm?
  • 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.
  • Cube construction
    A 2×2×2 cube is to be constructed using 4 white and 4 black unit cube. How many different cubes can be constructed in this way? ( Two cubes are not different if one can be obtained by rotating the other. )
  • Water level
    How many cm will the water level in a cube-shaped tank with an edge of 3 m drop if we discharge 189 hl of water?
  • The cube
    The cube has an edge of 25 cm. We cut it into small cubes of 5 cm long side. How many of these little ones left when we build a new cube of 20 cm in length?
  • Cube surface and volume
    The surface of the cube is 500 cm2, how much cm3 will be its volume?
  • The number
    The number of 1 cm cubes required to make 4 cm cube is?

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