Physical quantities - math word problems - page 216 of 298
Number of problems found: 5952
- Inflation and deposits
A client deposits 100,000 euros in XYZ bank for a term deposit with an interest rate of 4% pa (per annum). After six months, you went to get the money. How much did he have in his account with the described half-yearly interest? PS When you deposit money - Driver
The car driver drove at 100 km/h saw the obstacle and began braking with a slowing of 5 m/s². What is the pathway's length to stop the car when the driver has registered the obstacle with a delay of 0.7 seconds? - Going to paint
The dimensions of the room are 3.8 and 3.4 m. The height is 2.6 m. The doors and windows together have 3.5 m². We are going to paint. The first coat with white basic we apply on the walls and ceiling. We paint with colour only the walls. Calculate how muc - Equilateral shell
The glass weight has the shape of a regular four-sided pyramid with a base edge of 10 cm. The shell walls are equilateral triangles. What is the weight in grams of the paperweight if the density of the glass is 2500 kg/m³? - Construct 8
Construct an analytical geometry problem where it is asked to find the vertices of a triangle ABC: The vertices of this triangle are points A (1,7), B (-5,1) C (5, -11). The said problem should be used the concepts of distance from a point to a line, rati - Similarity coefficient
In the triangle TMA, the length of the sides is t = 5 cm, m = 3.5 cm, and a = 6.2 cm. Another similar triangle has side lengths of 6.65 cm, 11.78 cm, and 9.5 cm. Determine the similarity coefficient of these triangles and assign similar sides to each othe - Trapezium diagonals
It is given trapezium ABCD with bases | AB | = 12 cm, |CD| = 8 cm. Point S is the intersection of the diagonals for which |AS| is 6 cm long. Calculate the length of the full diagonal AC. - Rectangular triangles
The lengths of the corresponding sides of two rectangular triangles are in the ratio 2:5. At what ratio are medians relevant to hypotenuse these right triangles? At what ratio are the areas of these triangles? A smaller rectangular triangle has legs 6 and - The Novak family 2
The Novák family had debts at two banks. They repaid Bank A a total of 26,500 CZK, with interest making up one fifth of the amount repaid. They repaid Bank B an amount 15,000 CZK less, including ten percent interest. a) What was the Novák family's origina - Swing balance distance
Roman and Mathias made a swing in the park by taking a 5 m-long pole and supporting it in the middle. Roman, weighing 52 kg, sat down at the left end. Where should Mathias sit to achieve balance if he weighs 60 kg? Enter the distance measured in meters fr - A tenth of a second
A frequent competition, even for amateurs, is long-distance running. The running time was measured with a stopwatch with a precision of one tenth of a second. Two other competitors were diligently overtaking each other in the last metres before the finish - The regular
The regular triangular prism has a base in the shape of an isosceles triangle with a base of 86 mm and 6.4 cm arms; the height of the prism is 24 cm. Calculate its volume. - Quadrilateral prism
Calculate the surface of a quadrilateral prism according to the input: Area of the diamond base S1 = 2.8 m2, length of the base edge a = 14 dm, the prism height 1,500 mm. - Box paper calculation
How many m² of paper are needed to produce 1000 pieces of cube-shaped boxes with an 8 cm edge when we must add one-quarter of the area to the joints? - 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? - Aquarium
There are 15 liters of water in a block-shaped aquarium with internal dimensions of the bottom of 25 cm and 30 cm. Find the area of water-wetted surfaces. Express the result in dm square. - Surface and volume od cuboid
The square base of the cuboid has an area of Sp = 36 cm2, and its height is 80 mm. Determine its surface area and volume. - Aquarium depth The aquarium has the shape of a block with a length of 0.7 m and a width of 25 cm. It can hold 56 liters of water. How deep is the aquarium?
- Hexagonal pyramid
A regular hexagonal pyramid has dimensions: the length edge of the base a = 1.8 dm, and the height of the pyramid = 2.4 dm. Calculate the surface area and volume of a pyramid. - Tetrahedral prism
Calculate the surface and volume of a tetrahedral prism, which has a rhomboid-shaped base, and its dimensions are a = 12 cm, b = 7 cm, ha = 6 cm, and prism height h = 10 cm.
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