Solid geometry, stereometry - page 43 of 121
Number of problems found: 2418
- Surface of the cuboid
Find the surface of the cuboid if its edges have the dimensions a, 2/3a, and 2a. - Surface - formula
Of the formula, S = the surface of the cuboid S=2. (ab+ac+bc) express unknown c. C =? - Pyramid volume change
How does the volume of a pyramid change if we triple its height? - Sphere surface
Calculate the surface of a sphere whose volume is 33.9 cm cubic. - Container diameter calculation
The cylindrical container is completely filled and contains 62.8 liters of water. It is half a meter high. Calculate the bottom diameter. - Cube edges
The sum of the lengths of the cube edges is 48 cm. Calculate the surface of the cube. - Cube diagonal
Calculate the solid diagonal of a cube whose surface equals 24 square centimeters. - Observatory
The observatory dome has the shape of a hemisphere with a diameter d = 10 m. Calculate the surface. - The volume
The volume of the sphere is 1 m³. What is its surface? - Pit
The pit is 1.2 m deep and in the shape of a truncated pyramid with a rectangular base. Its length and width are the top 3 × 1.5 m and the bottom 1 m × 0.5 m. To paint one square meter of the pit, we use 0.8 l of green paint. How many liters of paint are n - Spherical cap
What is the surface area of a spherical cap, the base diameter 27 m, and height 2 m? - Concrete curb
The concrete curb has a width of 20 cm at the bottom and 15 cm at the top. It is 20cm tall. Its length is 80 cm. The density of concrete is p=2100kg/m³. How many can Mr. Havlík load on a trailer for a car if the trailer has a load capacity of 400 kg? - Room people capacity
The room is 240 cm high and has a volume of 48 m³. How many people can work in it when there is 7 m² of floor space per person? - Traffic cones
Forty identical traffic cones with a base diameter d = 3 dm and height v = 6 dm will be painted orange outside (without the base). If we need 50 cm³ of paint to cover 1 m² and 1 liter of paint costs 80 SKK, how many SKK crowns will we pay? - Aquarium fish
Míša bought an aquarium in the shape of a cuboid with bottom dimensions of 30 cm x 15 cm and a height of 20 cm. The seller advised him to fill the aquarium with water only to a height of 15 cm. How many swordfish can Micho buy for the aquarium if he knows - Wire model
A wire model of a regular hexagonal prism with a base edge length of a = 8 cm has a height of v = 12 cm. The solid is covered with paper — the bases with dark paper and the lateral surface with white paper. - Calculate in cm the greatest possible straight - Support colum
Calculate the support column's volume and surface. It is shaped as a vertical quadrangular prism whose base is a rhombus with diagonals u1 = 102 cm and u2 = 64 cm. The column height is 1. 5m. - Canopy
Mr Peter has a metal roof cone shape with a height of 127 cm and radius 130 cm over well. He needs to paint the roof with anticorrosion. If the manufacturer specifies the consumption of 1 kg to 3.3 m2, how many kg of color must he buy? - Cubes
A sphere is inscribed in one cube and the same sphere is circumscribed about another cube. Calculate the difference between the volumes of the two cubes if the difference between their surface areas is 231 cm². - Everything in soup
The pot with soup is shaped like a cylinder with a bottom diameter of 20 cm and a height of 24 cm. How many guests will we have enough soup for if the pot is filled to two-thirds of the height and 0.25 l of soup is calculated per person? (pay attention to
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