Solid geometry, stereometry - page 43 of 121
Number of problems found: 2409
- Isosceles ditch
A ditch with a cross-section in the shape of an isosceles trapezoid with bases of 3 m and 5 m and arms of length 2 m is 2.5 meters deep and 10 meters long. How many cubic meters of soil did they have to excavate when digging it? - Cleaning the pool
The swimming pool is 25 m long, 12 m wide, and 2 m deep. The walls and bottom of the pool require regular cleaning. The company that cleans the pool charges CZK 50 per 1 square meter. How much does the owner pay for cleaning the pool? - Water level How high is the water in the swimming pool with dimensions of 37m in length and 15m in width if an inlet valve is opened for 10 hours, flowing 12 liters of water per second?
- The well
The well has the shape of a cylinder with a diameter of 2 m. From ground level to water level are 4 meters, and the water depth in the well is 6 m. How many m³ of soil did they dig when digging a well? How many liters of water are in the well? - Hexagonal prism
The prism's base is a regular hexagon consisting of six triangles with side a = 12 cm and height va = 10.4 cm. The prism height is 5 cm. Find the volume and surface of the prism. - Mass
The thickness of a metallic tube is 1cm, and its outer radius is 11cm. Find the mass of such a 1m long tube if the metal density is 7.5g per cubic cm. - Decorative 46721
How many liters of water can fit in a decorative garden tank in the shape of a regular hexagonal pyramid with a 30 cm long base edge? The depth of the tank is 30 cm. - Calculate 31651
Calculate the surface of a regular 5-sided prism with a base area of 60 dm² if the length of the edge of the lower base is four dm. The height of the prism is 1.3 m. - Diameter 27703
The road roller has a diameter of 0.81 m and a width of 154 cm. How many m² of the road will it level when it turns 37 times? - Children's 8246
We prepare a pile of sand in the shape of a cone with a height of 1 m and a diameter of 1.6 m. We prepare it for the children's sandpit. What volume of sand does this pile occupy? - Dimensions 3950
Calculate the solid diagonal of a block whose dimensions are: a = 3cm, b = 5, c = 7cm. Find its volume as well. - Cylinder-shaped 3009
The municipality collects a fee of CZK 500 for 1 m of square billboard space. How much will he earn if he rents a cylinder-shaped column with a diameter of 2 m and a height of 3 m to stick posters? - Cross-section 3997
The edge of the cube-shaped dice is 3.5 cm long. How many of these cubes are made of an oak beam 3.5 m long and a square cross-section with a side 35 cm long? - Round up - fountain
A fountain, which is cylindrical in shape with a base diameter of 2m, is 25cm deep. How many liters of water can it hold? Round the result to a whole number. - Cylindrical column
What is the mass of a reinforced concrete cylindrical column with a radius of 30 cm and a height of 4.5 m if the density of reinforced concrete is 2400 kg/m³? Round the result to whole kilograms. - Trapezoid cross section
Calculate how many hectoliters of water can fit in a fifty-meter sloped pool; if the smallest depth is 1.2 m and the largest depth is 3 m, the width of the pool is 20 m. - Triangular prism
Calculate a triangular prism if it has a rectangular triangle base with a = 4cm and hypotenuse c = 50mm, and the height of the prism is 0.12 dm. - Cuboidal room
The length of the cuboidal room is 2m the breadth of the cuboidal room is 3m and height is 6m find the length of the longest rod that can be fitted in the room - Sand path
How much m³ of sand is needed to fill the 1.5m wide path around a rectangular flowerbed of 8m and 14m if the sand layer is 6cm high? - Square prism
Calculate the volume of a square prism of high 2 dm wherein the base is: Rectangle with sides of 17 cm and 1.3 dm
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