Solid geometry + direct relationship - practice problems
Number of problems found: 28
- Leveling
Calculate how many we must purchase 25 kg bags of leveling concrete if we level room 15 m² to the "height" 6 mm if consumption is 1.5 kg per square meter and millimeter thickness. - Cylinder
The cylinder-shaped container has 80 liters of water. The water reaches 45 cm in height. How many water liters will be in a container if the water level extends to a height of 72 cm? Write the result in liters. Write down only as a whole or decimal number - Dimensions 81805
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? - 6 Pipes
6 Pipes are required to fill a tank in 1 hour 20 minutes. How long will it take if only five pipes of the same type are used? Give your answer in hours and minutes.
- Measuring 5554
The block measuring 20 cm, 10 cm, and 8 cm weighs 80 grams. What is the weight of a block made of the same material, the edges of which are half the length? - Cylinder-shaped vase
If the cylinder-shaped vase is filled with water up to 35 cm, it contains 1 liter of water. How much water will it contain if it is filled to a height of 45cm? - Rectangular 79594
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. - Surfaces 3793
The volumes of the two cubes are in the ratio of 27:8. What is the ratio of the surfaces of these cubes? - Liters od milk
The cylinder-shaped container contains 80 liters of milk. The milk level is 45 cm. How much milk will be in the container if the level rises to a height of 72 cm?
- Cylinder - h2
The cylinder volume is 2.6 liters. The base area is 1.3 dm². Calculate the height of the cylinder. - Cylinder melted into cuboid
A circular cylinder has an area of cross-section 56cm², and the height is 10cm. The cylinder is melted into a cuboid with a base area of 16cm². What is the height of the cuboid? - Determine 3784
The teacher brought to class two wooden models of cones, which were made of the same type of wood. The first model weighed 800g. The other had twice the base radius but half the height. Determine the mass of the second cone in grams. - Cuboid - ratios
The sizes of the edges of the cuboid are in the ratio of 2:3:5. The smallest wall has an area of 54 cm². Calculate the surface area and volume of this cuboid. - Cone
The circular cone has height h = 29 dm and base radius r = 3 dm slice plane parallel to the base. Calculate the distance of the cone vertex from this plane if solids have the same volume.
- Rectangular cuboid
The rectangular cuboid has a surface area 5447 cm², and its dimensions are in the ratio 2:4:1. Find the volume of this rectangular cuboid. - Cornbreads
If four and a half teaspoons of baking powder are needed to make ten servings of cornbread, how many teaspoons are needed to make 25 servings? - Determine 7488
The lengths of the edges of the two cubes are in the ratio 2:3. Determine how many times the surface of the larger cube is larger than the surface of the smaller cube. - Cube
One cube has an edge increased five times. How many times will larger its surface area and volume? - Prism bases
Volume perpendicular quadrilateral prism is 360 cm³. The edges of the base and height of the prism are in the ratio 5:4:2. Find the area of the base and walls of the prism.
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