Body volume - 9th grade (14y) - math problems

Number of problems found: 168

  • Volume and body diagonal
    kvader11 Calculate how much the volume and body diagonal of the cuboid decrease if we reduce each of its three edges a, b, c by 18%?
  • Body diagonal
    krychle Calculate the volume and surface of the cube if the body diagonal measures 10 dm.
  • Body diagonal
    cube_diagonals Calculate the cube volume, whose body diagonal size is 75 dm. Draw a picture and highlight the body diagonal.
  • Body diagonal
    kvadr_diagonal Calculate the volume of a cuboid whose body diagonal u is equal to 6.1 cm. Rectangular base has dimensions of 3.2 cm and 2.4 cm
  • Prism
    hranol_3bokovy Find the volume and surface area of prism with base of an equilateral triangle with side 7 dm long and the body height of 1.5 m.
  • Hexa prism
    hexagon Determine the volume of hex prism with edge base 4 cm. The body height is 28 cm.
  • Body diagonal - cube
    cube_shield Calculate the surface and cube volume with body diagonal 15 cm long.
  • Triangular prism,
    prism3s The regular triangular prism, whose edges are identical, has a surface of 2514 cm ^ 2 (square). Find the volume of this body in cm3 (l).
  • Concrete block
    abc Determine the volume of concrete block whose one edge of the base has a length 3 meters, body diagonal is 13 meters and its height is 12 meters.
  • Angle of diagonal
    hranol The angle between the body diagonal of a regular quadrilateral and its base is 60°. The edge of the base has a length of 10cm. Calculate the body volume.
  • Cube diagonals
    krychlicka Determine the volume and surface area of the cube if you know the length of the body diagonal u = 216 cm.
  • Triangular prism
    hranol The perpendicular triangular prism is a right triangle with a 5 cm leg. The content of the prism's largest wall is 130 cm2, and the body height is 10 cm. Calculate the body volume.
  • How many 9
    sphere2 How many percent volume remain of a sphere if diameter decrease 3×?
  • Inscribed sphere
    ball-in-cube How many % of the volume of the cube whose edge is 6 meters long is a volume of a sphere inscribed in that cube?
  • Cube surface and volume
    cube_diagonals The surface of the cube is 500 cm2, how much cm3 will be its volume?
  • Surface and volume
    kuzel2 Find the surface and volume of the rotating cone if the circumference of its base is 62.8 m and the side is 25 m long.
  • Quadrilateral prism
    hranol The height of a regular quadrilateral prism is v = 10 cm, the deviation of the body diagonal from the base is 60°. Determine the length of the base edges, the surface, and the volume of the prism.
  • Sphere growth
    sphere How many times grow volume of sphere if diameter rises 10×?
  • Reduce of the volume
    cubes Calculate how many % reduce the volume of the cube is we reduced length of each edge by 10%.
  • Quadrilateral pyramid
    jehlan3 In a regular quadrilateral pyramid, the height is 6.5 cm and the angle between the base and the side wall is 42°. Calculate the surface area and volume of the body. Round calculations to 1 decimal place.

Do you have an interesting mathematical word problem that you can't solve it? Submit a math problem, and we can try to solve it.



We will send a solution to your e-mail address. Solved examples are also published here. Please enter the e-mail correctly and check whether you don't have a full mailbox.

Please do not submit problems from current active competitions such as Mathematical Olympiad, correspondence seminars etc...



Body volume - math problems. Examples for 9th grade.