Solid geometry, stereometry

Solid geometry is the name for the geometry of three-dimensional Euclidean space.

Stereometry involves the measurements of volumes of various solid figures (three-dimensional figures), including pyramids, prisms, and other polyhedrons; cylinders; cones; truncated cones; and balls bounded by spheres.

Number of problems found: 1104

  • A paint
    cylinder_cut A paint tin is a cylinder 12cm and height 22 cm. Leonardo, the painter, drops his stirring stick into the tin and it disappears. Work out the maximum length of the stick.
  • The base
    lich_hranol The base of the quadrilateral prism is a trapezoid with a content of 75 cm square. The prism is 6 cm high. Find the volume of the prism.
  • There
    watertank There is water in the block-shaped tank with dimensions of 3 m 1.5 m 5 m, it occupies 70% of the tank volume. Find the volume of water in the tank (in hl) .
  • Eights of butter
    butter How many eights of butter (1/8 of kg = 125 g) can be stored in a box with dimensions of 4 dm, 2 dm, 1.8 dm, if the eighth of butter has dimensions of 8 cm, 5 cm, 3 cm?
  • Cornbreads
    tea If 4 and a half teaspoons of baking powder are need to make 10 servings of cornbread, how many teaspoons are needed to make 25 servings?
  • Swimming pool 5
    pool A rectangular inflatable swimming pool is 3 yards long, 2 5/8 yards wide, and  1 3/5 yard tall. What is the volume of the pool? Round to the nearest tenth.
  • An aquarium
    akvarko An aquarium tank that measures 2.4 m high, 6 m long, and 1.5 m wide and is completely filled with water. The density of water is 1,000 kg/m3. What is the mass of the water in the tank?
  • Height of a cube
    cube_shield What is the volume of a cube if the height is 5cm.
  • Gift box
    cuboid_3colors A gift box has dimensions of: 8 1/2 inches, 5 1/2 inches, and 2 1/2 inches, respectively. How many cubes with side lengths of 1/2 inches would be needed to fill the gift box?
  • An architect
    cuboid_3colors An architect is designing a house. He wants the bedroom to have the dimensions of 8 ft by 4 ft by 7 ft. The architect doubles all three dimensions to create the den. Does that mean the den will have double the volume of the bedroom? First, find the volume
  • Bathtub
    watermixing Kevin has a bathtub shaped like a block. The bathtub measures 70 cm long, 45 cm wide and 50 cm high. Then the bathtub will be filled with clean water 3/5 of its height. The clean water needed is….
  • A dumpster
    cuboid_3colors A dumpster is shaped like a rectangular prism. It has a width of 8 feet, a height of 5 feet, and a volume of 880 cubic feet. What is the length of the dumpster?
  • Water overflow
    akvarko A rectangular container that has a length of 30 cm, a width of 20 cm, and a height of 24 cm is filled with water to a depth of 15 cm. When an additional 6.5 liters of water are poured into the container, some water overflows. How many liters of water over
  • Mr. Franklin
    stairs_Franklin Mr. Franklin built a new set of stairs to his side door as shown. What is the total volume of Mr. Franklin’s new set of stairs?
  • Base side
    hranol4b In a quadrilateral prism, are known surface area S = 12400 mm2 base side m = 40mm and prism height = 120mm, what is the length of base side n =?
  • Mike chose
    cubes2 Mike chose 4 identical cubes, 3 identical prisms and 2 identical cylinders from the kit. The edge of the cube is 3 cm long. The prism has two dimensions the same as the cube, its third dimension is 2 times longer. The diameter of the base of the cylinder
  • Edges of the cuboid
    kvader Find the length of the edges of the cuboid, which has the following dimensions: width is 0.4 m; the height is 5.8 dm and the block can hold 81.2 liters of fluid.
  • The surface
    cylinder The surface of the cylinder is 1570 cm2, its height is 15 cm. Find its volume and radius of the base.
  • What power
    radiator What power should the radiator have in a room 5x4 meters with a height of 3 meters? Hint: Calculate 35 watts per meter ^ 3 in case you need 22 degrees in the room but you need about 24 degrees in the bathroom. It's an old heating cheat, but it will defini
  • A butter
    cube_shield 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.

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