Solid geometry, stereometry - page 83 of 120
Number of problems found: 2399
- Spherical cap
Calculate the volume of the spherical cap and the areas of the spherical canopy if r = 5 cm (radius of the sphere), ρ = 4 cm (radius of the circle of the cap). - Cube - surface and volume
How many times does the volume of a cube increase if its surface increases four times? - Triangular prism
The curved part of the rotating cylinder is four times larger than the area of its base. Determine the volume of the regular triangular prism inscribed in the cylinder. The radius of the bottom of the cylinder is 10 cm. - Rotary bodies
The rotating cone and the rotary cylinder have the same volume of 180 cm³ and the same height, v = 15 cm. Which of these two bodies has a larger surface area? - Regular square prism
The volume of a regular square prism is 192 cm³. The size of its base edge and the body height is 1:3. Calculate the surface of the prism. - Contain 7986
The pool is 30 m long, 12 m wide, and 2 m deep. Can it contain 7,000 hl of water? If so, what is the level? If not, how much extra water is there? - Floating barrel
The barrel (cylinder shape) floats on water, the top of the barrel is 8 dm above water, and the width of the surfaced barrel part is 23 dm. The barrel length is 24 dm. Calculate the volume of the barrel.
- Millimeter 81160
Calculate the length of the side of the cone; they rounded the result to tenths of a millimeter. If you know: radius 24 mm and height 46 mm - Determine 2684
Find the length of the edge of a cube if its surface is 1296.5 cm². - Cube diagonal
Determine the length of the cube diagonal with edge 23 km. - Cube
The sum of lengths of cube edges is 56 cm. What are its surface and volume? - Equilateral cylinder
The equilateral cylinder (height = base diameter; h = 2r) has a V = 178 cm³ volume. Calculate the surface area of the cylinder. - Cone-shaped 44161
How many square meters of roofing is needed to cover the cone-shaped roof if the perimeter of its base is 15.7m and a height of 30dm - Quadrilateral 19413
Calculate the surface area of a regular quadrilateral pyramid given: a= 3.2 cm h= 19 cm Method: 1) calculation of the height of the side wall 2) area of the base 3) shell areas 4) the surface of a regular quadrilateral pyramid - Cubes
Carol with cut bar 12 cm x 12 cm x 135 cm to the cubes. Find the sum of all the surfaces of the resulting cubes.
- Quadrilateral 83272
Calculate the surface area and volume of a regular quadrilateral pyramid whose base edge is 5 cm long and whose height is 10 cm. - Equilateral 82576
Calculate the volume and surface area of a 9.6 cm high prism with a base of an equilateral triangle of length 4.8 cm. - Calculate 82073 Calculate a cone's volume and surface area with base diameter d = 22 cm and body height v = 40 cm.
- Substantial 65114
Calculate the volume of a regular triangular prism with a substantial edge length of 8 cm and a prism height of 17 cm. - Surface 64744
The cone is 12 cm high, and the radius of the figure is 9 cm. Find out its surface.
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