Problems of the surface area

Number of problems found: 479

  • Base diagonal
    jehlan_4b_obdelnik In a regular 4-sided pyramid, the side edge forms an angle of 55° with the base's diagonal. The length of the side edge is eight meters. Calculate the surface area and volume of the pyramid.
  • Side edges
    jehlan The regular 4-sided pyramid has a body height of 2 dm, and the opposite side edges form an angle of 70°. Calculate the surface area and volume of the pyramid.
  • Cloth / textile
    textiles We have cloth measure 16 square meters. How many 20 cm by 20 cm by 8 cm bags you can make? Assume bag is a cuboid without one top base.
  • Roll of wallpaper
    paper An art student uses a roll of wallpaper to decorate two gift boxes. The student will use 3 1/3 yards of paper for one box and 5/6 yard of paper for the other box. The paper must be cut into pieces that are 1/6 yard long. How many pieces will the student c
  • Surface and volume - cube
    cube_diagonals Find the surface and volume of a cube whose wall diagonal is 5 cm long.
  • Triangular prism
    hranol3b The regular triangular prism has a base edge of 8.6 dm and a height of 1.5 m. Finf its volume and surface area.
  • The rotating
    kuzel3 The rotating cone has a height of 0.9 m and the diameter of the base is 7.2 dm. Calculate the surface of the cone. (Hint: use Pythagorean theorem for a side of cone)
  • The volume
    kuzel2 The volume of the cone is 94.2dm³, the radius of the base is 6 dm Calculate the surface of the cone.
  • Cube-shaped box
    milk The cube-shaped box is filled to the brim with 2 liters of milk. Calculate the edge and surface of the box.
  • Truncated pyramid
    truncated_pyramid Find the volume and surface area of a regular quadrilateral truncated pyramid if base lengths a1 = 17 cm, a2 = 5 cm, height v = 8 cm.
  • A spherical segment
    Spherical_sector The aspherical section, whose axial section has an angle of j = 120° in the center of the sphere, is part of a sphere with a radius r = 10 cm. Calculate the cut surface.
  • What is
    valec What is the height of a cylinder whose surface size is 602.88 cm2 and the content of its shell is 376.8 cm2?
  • The cylinder
    valec2 In a rotating cylinder it is given: the surface of the shell (without bases) S = 96 cm2 and the volume V = 192 cm cubic. Calculate the radius and height of this cylinder.
  • Rotary cylinder
    valec In the rotary cylinder it is given: surface S = 96 cm2 and volume V = 192 cm cubic. Calculate its radius and height.
  • Pentagonal pyramid
    pentagon The height of a regular pentagonal pyramid is as long as the edge of the base, 20 cm. Calculate the volume and surface area of the pyramid.
  • Truncated cone
    zrezany_kuzel Find the volume and surface area of the truncated cone if r1 = 12 cm, r2 = 5 cm and side s = 10 cm.
  • Regular 4-sided pyramid
    jehlan Find the area (surface area) of a regular 4-sided pyramid if its height is 20 m and the wall height is 23 m.
  • Cuboid - ratio
    cuboid_3colors Find the volume of a block whose dimensions are in the ratio 2: 3: 4 and the surface is 117 dm2.
  • Hexaprism container
    hexagonprism Calculate the volume and surface in the shape of a regular hexagonal prism with a height of 1.4 m with a base edge of 3dm and a corresponding height of 2.6 dm.
  • Prism height
    prism_rt What is the prism's height with the base of a right triangle of 6 cm and 9 cm? The diaphragm is 10.8 cm long. The volume of the prism is 58 cm3. Calculate its surface.

Do you have an exciting math question or word problem that you can't solve? Ask a question or post 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.