Geometry + direct relationship - practice problems - last page
Number of problems found: 75
- 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? - Bathroom
How much CZK do we pay for lining the perimeter walls of the bathroom with rectangular shapes with dimensions of 3.5 m and 4 m, high 1.5 m if 1 square m tile costs 300 CZK? - Air thermal
Imagine that a unit of air rises at 3000 meters high. If the temperature decreases 6 degrees Celcius for every 1000 meters, what will be its temperature at 1400 meters, 2000 meters, 2500 meters, and when it reaches the 3000-meter elevation? Starting tempe
- Centimeters 2721
The surface of the block is 4596 square centimeters. Its sides are in a ratio of 2:5:4. Calculate the volume of this block. - Cuboid
The sum of the lengths of the three edges of the cuboid that originate from one vertex is 210 cm. The edge length ratio is 7: 5: 3. Calculate the length of the edges. - Cylindrical 6636
A cylindrical container with a bottom diameter of 30 cm and a height of 20 cm is filled with water. We want to pour the water into another cylindrical container with a bottom diameter of 15 cm. What minimum height must the second container have for the wa - Pizza
Pizza with a diameter of 50 cm weights 559 g. What diameter will a pizza weigh 855 g made from the same cloth (same thickness) and decorated? - Ratio of edges
The cuboid dimensions are in a ratio of 3:1:2. The body diagonal has a length of 28 cm. Find the volume of a cuboid.
- Map 2
At what scale is a map made if the distance 8.2 km corresponds to the map segment 5 cm long? - Identical 8831
In the triangle ABC, the point P lies closer to point A in the third of the line AB, the point R is closer to the point P in the third of the line P, and the point Q lies on the line BC so that the angles P CB and RQB are identical. Determine the ratio of - Sides of the triangle
The sides of the triangle ABC have a length of 4 cm, 5 cm, and 7 cm. Construct triangle A'B'C', similar to triangle ABC, which has a circumference of 12 cm. - Seawater
Seawater density is 1025 kg/m³, and ice is 920 kg/m³. Eight liters of seawater froze and created a cube. Calculate the size of the cube edge. - Pipes
The water pipe has a cross-section 1184 cm². An hour has passed 743 m³ of water. How much water flows through the pipe with cross-section 300 cm² per 6 hours if water flows at the same speed?
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