Basic functions + direct relationship - practice problems - page 35 of 36
Number of problems found: 708
- Kilometers 5008
If the city is far from the city and is 15 kilometers long, and the scale of the map is 1:300000, what is the distance on the map? - Fence and scale
The garden with 80 m of fencing is drawn on a plan as a square with a side length of 4 cm. At what scale is this plan made? - 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?
- Course 21753
The course is 80m long. What will be its length on the plan at a scale of 1: 500? (in cm) - Rectangular 2815
Calculate the actual proportions of the rectangular plot in meters, which has dimensions of 70 mm and 90 mm, on a 1: 2000 scale plan. - Map scale
The garden has on the plan a scale of 1:150, width 22 cm, and length 35 cm. What is the real area of the garden? - 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. - Pool
If water flows into the pool by two inlets, fill the whole for 20 hours. The first inlet filled the pool 8 hour longer than the second. How long does the pool take to fill with two inlets separately? - Scale
The swimming pool is long 110 m and 30 m wide. The city's plan is shown as a rectangle with an area 8.25 cm². What scale is the city plan? - Rectangular 24321
The rectangular garden on the 1:1000 scale plan is 10 cm by 15 cm. What is the perimeter of the garden?
- 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? - Map scale
The rectangular plot has a scale of 1:10000 area of 3 cm² on the map. What area does this plot have on a 1:5000 scale map? - 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?
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