# Square root + cube root - math problems

#### Number of problems found: 46

• Regular square prism 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 The cube-shaped box is filled to the brim with 2 liters of milk. Calculate the edge and surface of the box.
• Annual growth The population has grown from 25,000 to 33,600 in 10 years. Calculate what was the average annual population growth in%?
• The cube The cube has a surface of 600 cm2. What is its volume?
• 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.
• The cube The cube has a surface area of 216 dm2. Calculate: a) the content of one wall, b) edge length, c) cube volume.
• 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.
• Wallpaper 3750 cm square of wallpaper is needed to glue a cube-shaped box. Can Dad cut out the whole necessary piece of wallpaper as a whole if he has a roll of wallpaper 50 cm wide?
• 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
• Six speeds A drilling machine is to have 6 speeds ranging from 50 to 750 revolutions per minute. If the speed forms a geometric progression, determine their values.
• 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.
• Profit growth The profit of a company increased by 25% during the year 1992, increased by 40% during the year 1993, decreased by 20% in 1994 and increased by 10% during the year 1995. Find the average growth in the profit level over the four years periods?
• Cube surface and volume The surface of the cube is 500 cm2, how much cm3 will be its volume?
• Cube diagonals Calculate the length of the side and the diagonals of the cube with a volume of 27 cm3.
• Area to volume If the surface area of a cube is 486, find its volume.

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Square root - math problems. Cube root - math problems.