Square + third power - math problems

Number of problems found: 30

  • One third power
    cube-root Which equation justifies why ten to the one-third power equals the cube root of ten?
  • Simplest form
    expr Find the simplest form of the following expression: 3 to the 2nd power - 1/4 to the 2nd power
  • Derivative problem
    derive 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 6
    water_cube Surface area of one wall cube is 1600 cm square. How many liters of water can fit into the cube?
  • Sphere A2V
    sphere3 The surface of the sphere is 241 mm2. What is its volume?
  • Rectangle pool
    basen_5 Determine dimensions of open pool with a square bottom with a capacity 32 m3 to have painted/bricked walls with least amount of material.
  • Granddaughter
    calendar In 2014, the sum of the ages of Meghan's aunt, her daughter and her granddaughter was equal to 100 years. In what year was the granddaughter born, if we know that the age of each can be expressed as the power of two?
  • Special cube
    cube3 Calculate the edge of cube, if its surface and its volume is numerically equal number.
  • Tereza
    cube The cube has an area of base 256 mm2. Calculate the edge length, volume, and area of its surface.
  • 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
    cube2 The sum of lengths of cube edges is 57 cm. What is its surface and volume?
  • Cube
    cubes_14 One cube has edge increased 5 times. How many times will larger its surface area and volume?
  • Cube-shaped box
    milk_1 The cube-shaped box is filled to the brim with 2 liters of milk. Calculate the edge and surface of the box.
  • Cube diagonals
    cube_diagonals_4 Calculate the length of the side and the diagonals of the cube with a volume of 27 cm3.
  • Cube V2S
    cube_shield The volume of the cube is 27 dm cubic. Calculate the surface of the cube.
  • Cube surfce2volume
    cube_shield Calculate the volume of the cube if its surface is 150 cm2.
  • Three members GP
    exp_growth The sum of three numbers in GP (geometric progression) is 21 and the sum of their squares is 189. Find the numbers.
  • Volume and area
    cubes_8 What is the volume of a cube which has area of 361 cm2?
  • Pyramid cut
    ihlan_rez We cut the regular square pyramid with a parallel plane to the two parts (see figure). The volume of the smaller pyramid is 20% of the volume of the original one. The bottom of the base of the smaller pyramid has a content of 10 cm2. Find the area of the
  • Length of the edge
    cube_shield Find the length of the edge of a cube that has a cm2 surface and a volume in cm3 expressed by the same number.

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Square Problems. Third power - math word problems.