Cube + area of the shape - math problems

Number of problems found: 22

  • Chemical parison
    The blown parison (with shape of a sphere) have a volume 1.5 liters. What is its surface?
  • Chocolate roll
    The cube of 5 cm chocolate roll weighs 30 g. How many calories will contain the same chocolate roller of a prism shape with a length of 0.5 m whose cross-section is an isosceles trapezoid with bases 25 and 13 cm and legs 10 cm? You know that 100 g of this
  • Pyramid cut
    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
  • Prism
    Right-angled prism, whose base is a right triangle with leg a = 3 cm and hypotenuse c = 13 cm, has the same volume as a cube with an edge length of 3 dm. a) Find the height of the prism b) Calculate the surface of the prism c) What percentage of the cube'
  • The pool
    The cube-shaped pool has 140 cubic meters of water. Determine the dimensions of the bottom if the depth of the water is 200 cm and one dimension of the base is 3 m greater than the other. What are the dimensions of the pool bottom?
  • Cutting the prism
    A prism with a square base with a content of 1 cm2 and a height of 3 cm was cut from a cube with an edge length of 3 cm. What is the surface of the body formed from the cube after cutting the prism?
  • Equilateral cylinder
    Equilateral cylinder (height = base diameter; h = 2r) has a volume of V = 199 cm3 . Calculate the surface area of the cylinder.
  • A butter
    A butter cube with an edge 6.5 cm long is packed in a package with dimensions a = 28 cm, b = 15 cm. Calculate how many cm2 the package is larger than the surface of the cube.
  • Metal sheet
    How much m ^ 2 of sheet metal is needed to beat a box in the shape of a cube with an edge length of 50 cm, if we add 20% on the folds of the lid and walls?
  • Cube cut
    In the ABCDA'B'C'D'cube, it is guided by the edge of the CC' a plane witch dividing the cube into two perpendicular four-sided and triangular prisms, whose volumes are 3:2. Determine in which ratio the edge AB is divided by this plane.
  • Cube wall
    The perimeter of one cube wall is 120 meters. Calculate the surface area and the body diagonal of this 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?
  • Tereza
    The cube has an area of base 256 mm2. Calculate the edge length, volume, and area of its surface.
  • Concrete pedestal
    The carpenters made wooden mold on a concrete pedestal in the shape of a cube with an edge 2 meters long. What is the area in which the concrete touches wooden molds? (No lid or bottom)
  • The funnel
    The funnel has the shape of an equilateral cone. Calculate the content of the area wetted with water if you pour 3 liters of water into the funnel.
  • Cube 5
    The content area of one cube wall is 32 square centimeters. Determine the length of its edges, its surface and volume.
  • 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
  • The body
    The body on the figure consists of cubes with an edge length 10 cm. What surface has this body?
  • Cube cut
    The cube ABCDA'B'C'D ' has an edge of 12cm. Calculate the area of diagonal cut B DD'B '.
  • Funnel
    The funnel has the shape of an equilateral cone. Calculate the surface wetted with water if we poured into the funnel 7.1 liters of water.

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Cube Problems. Examples of area of plane shapes.