Solid geometry, stereometry - page 93 of 123
Number of problems found: 2441
- Special cube
Find the edge length of a cube whose surface area and volume are numerically equal. - Gutter pipe
How many m² of sheet metal is required to produce a 12 m long and 18 cm wide gutter if a 7% bend is required? - Hectoliters
If a garden barrel with a 90 cm diameter and a height of 1.3 m is filled to 80% of its capacity, how many hectoliters of water is in it? - Metal box
How much metal do we need to produce in a box with dimensions of 5 dm, 30 cm, and a height of 1 m? Add 12% of the waste and fold. - Block wall painting
We color a wooden block with dimensions a = 4 cm, b = 3 cm, c = 2 cm and then cut it into cubes of 1 cm³. How many cats will she have? a) just one wall painted b) just two walls stained c) just three walls painted d) no painted wall? - Cylinder express radius
Please express r from the formula for the surface of the cylinder. - Volume increase
How much percent will increase in the pool 50 m, width 15m if the level rises from 1m to 150cm? - Water tank 2
The water tank cuboid is 12 meters long and 6.5 meters wide, and 1.2 meters high. How many hectoliters are in the tank when it is filled to 89%? - Barrel 2
The empty barrel weighs 12 kg. When it is filled with water up to 39% height, it weighs 69 kg. How heavy is a barrel full of water? - The soap
The soap has the shape of a cuboid with dimensions of 6 cm, 4 cm, and 2 cm. Katy used it for a week and all the dimensions of the soap shrunk by half. How long will her soap last? - Tank percentage
288hl of water was filled into a block-shaped tank with bottom dimensions of 12 m and 6 m and a depth of 2 m. What percentage of the volume of the tank did the water occupy? - Gutter material calculation
The length of the gutter is 2 m, and the diameter of the gutter is 0.4 m. It is necessary to add 7% of the material to the joints. Find the consumption of sheet metal for the gutter construction. - Butter
The same amount of butter is cut evenly from a cuboid every day. In seven days we used so much butter that all its dimensions were halved. a) How much percent of butter do we still have left? b) How many days will the butter last if we continue to cut the - Bricks
Openings in perforated bricks occupy 10%, and brick has dimensions of 30 cm, 15 cm, and 7.5 cm. Calculate a) the weight of a perforated brick if you know that the density of the full brick material is p = 1800 kg/m³ (1.8 kg/dm³) b) the number of perforate - Sugar - cuboid
Pablo received from his master a cuboid composed of identical sugar cubes, each weighing between 1000 and 2000. The Pejko eat sugar cubes in layers. On the first day, eat one layer from the front. On the second day, one layer is from the right, and on the - Cylinder in cube
A can in the shape of a cylinder with a height of 10 cm and touching all the walls of the cube is placed into a paper box in the shape of a cube with an edge of 10 cm. What % of the cube's volume can it take up? - Diet liquid solid
The ratio of the number of liquids to the solid components of the diet in (kg) should be about 7:2. Show in a rectangular coordinate system the dependence of the amount of a solid food component on its total amount. - Hectoliters in a tank
The block tank held 288 hectoliters of water. The bottom dimensions are 12m and 6m, and the depth is 2m. What percent of the tank volume does the water occupy? - Water reservoir
The reservoir shape of a cylinder has a diameter of 8 m and a height of 2.8 m. The device indicates that the reservoir contains 800 hectoliters of water. Calculate how much % of the volume is used. - Pit soil volume
The lime pit has the shape of a quadrilateral prism with dimensions of 2 m, 1.8 m, and 1.5 m Calculate the pile volume from the excavated soil, which, due to fluffing, is 20% larger than the volume of the pit.
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