Volume + area of the shape - math problems

Number of problems found: 145

  • Wooden prism
    Find the weight of a wooden regular triangular prism with a height equal to the perimeter of the base and a figure inscribed in a circle with a radius of 6, M cm, where M is the month of your birth. The density of oak is 680 kg/m3.
  • Height of the prism
    The volume of the quadrilateral prism is 723.6 cm3. The base of this prism is a rhombus with a side 9 cm long and a corresponding height of 6.7 cm long. Find the height of the prism.
  • An experiment
    The three friends agreed to the experiment. At the same time, they all took out an empty cylindrical container on the windowsill and placed it so that it was horizontal. Everyone lives in a different village, and each used a container with a different bot
  • Truncated pyramid
    The truncated regular quadrilateral pyramid has a volume of 74 cm3, a height v = 6 cm, and an area of the lower base 15 cm2 greater than the upper base's content. Calculate the area of the upper base.
  • Triangular prism
    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.
  • 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.
  • The resistance
    What is the resistance of an aluminum wire 0.2 km long and 10 mm in diameter?
  • Pentagonal pyramid
    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.
  • Hexaprism container
    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.
  • Iglu - cone tent
    The cone-shaped tent is 3 m high, the diameter of its base is 3.2 m. a) The tent is made of two layers of material. How many m2 of fabric is needed for production (including flooring) if 20% needs to be added to the minimum amount due to cutting waste? b)
  • 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?
  • Copper winding
    Calculate the current flowing through the copper winding at an operating temperature of 70°C. Celsius, if the winding diameter is 1.128 mm and the winding length is 40 m. The winding is connected to 8V.
  • Swimming pool
    A swimming pool 30 meters long is filled with water to a depth of 1 meter at the shallow end, and 5 meters at the deep end and abcd the vertical area of the pool has the shape of a trapezium with the area given by S(abcd)= 1/2 (ab + cd) x ad. What is the
  • Triangular pyramid
    Calculate the volume of a regular triangular pyramid with edge length a = 12cm and pyramid height v = 20cm.
  • Wooden bowls
    20 wooden bowls in the shape of a truncated cone should be painted on the outside and inside with wood varnish. We need 0.1 l of paint to paint 200 cm2. How many liters of paint do we have to buy if the bowls are 25 cm high, the bottom of the bowl has a d
  • Diver
    Please calculate using Pascal's law. The window of the diving helmet has a surface content of about 7dm2. Calculate what pressure force acts on the window at a depth of 20 meters below the water surface.
  • Surface of the cone
    Calculate the surface of the cone if its height is 8 cm and the volume is 301.44 cm3.
  • Volume of the cone
    Calculate the volume of the cone if the content of its base is 78.5 cm2 and the content of the shell is 219.8 cm2.
  • 9-gon pyramid
    Calculate the volume and the surface of a nine-sided pyramid, the base of which can be inscribed with a circle with radius ρ = 7.2 cm and whose side edge s = 10.9 cm.
  • Octagonal prism vase
    0.7 l of water can be poured in an octagonal prism vase. What is the height of the vase, if the bottom has a area of 25 cm square and a thickness of 12 mm?

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