Physical quantities - math word problems - page 239 of 298
Number of problems found: 5956
- Sphere
A sphere has a surface area of 21000 cm² and a mass of 73.2 kg. What is its density? - Hourglass
An hourglass consists of two identical containers in the shape of rotational cones. For simplicity, we assume that the cones touch only at their apexes. The sand reaches to half the height of the lower cone. After turning the hourglass over, it takes exac - Gutter Sheet Metal Area
Gutters have the shape of half a cylinder. Their diameter is 16 cm, and the total length around the roof is 32.6 m. How many m² of sheet metal are needed to make them? Add 15% for connections and cleaning. - Pumps
Six pump fills the tank for three and a half days. How long will fill the tank with seven equally powerful pumps? - A screen
A screen has a resolution of 1,680 × 1,050 pixels. What are the coordinates and dimensions (in pixels) of the central rectangular area that is exactly 33% of the screen's size? - Hypotenuse - RT
A triangle has a hypotenuse of 55 and an altitude to the hypotenuse of 33. What is the area of the triangle? - Hexagon
There is a regular hexagon ABCDEF. If the area of the triangle ABC is 10, what is the area of the hexagon ABCDEF? I do not know how to solve it simply.... - Cylinder S,V
What is the volume and surface area of a cylinder whose base has a diameter of 3.15 cm and a height of 25 cm? - Cylinder volume rectangle
We rolled up the shell of a 4 cm high rotating cylinder from a rectangle measuring 6 cm and 4 cm. Find the volume of the cylinder. - Pyramid volume
Calculate the volume of a regular quadrilateral pyramid, the base edge of which measures 6 cm and the height 10 cm - Body diagonal
Find the length of the body diagonal of a cuboid with edges lengths of 16 cm, 7 cm, and 4 cm. - Quadrilateral pyramid
Calculate the volume of a quadrilateral pyramid, the base of which has the shape of a rectangle with dimensions a = 6 cm, b = 4 cm, and height v = 11 cm - Cube measurements
Calculate the volume and area of the cube with the length of the edge a) 5 m b) 32 mm c) 4.5 dm - Observatories A,B
The target C is observed from two artillery observatories, A and B, 296 m apart. At the same time, angle BAC = 52°42" and angle ABC = 44°56". Calculate the distance of the target C from observatory A. - Prism volume surface
Calculate a prism's volume and surface area with a base of a right triangle with cantilevers of length 40 and 43 cm. The height of the prism is 60 cm. - Segment center coordinates
The line PQ is defined by points with coordinates P = [−2; 4] and Q = [4; 0]. What are the coordinates of the midpoint S of the line segment PQ? - Create 2
Create a suitable table and fill in the data: Producing four machines takes a total of 80 hours. Each machine takes the same amount of time to produce. How long does it take to produce 1 machine, 2 machines, and 5 machines? - Client
A bank client had €1,320 deposited in her account throughout the year. At the end of the year, €33 in interest was credited to the account. What annual interest rate was applied? - Atmospheric pressure
How and by how much hPa will the atmospheric pressure change when we take the cable car from Skalnate Pleso to Lomnický štít? The altitudes of the cable car stations are 1754 m above sea level and 2634 m above sea level. - Student deposit years A student deposited €500 in a savings bank at 2.5% interest. In what time (in years) will he earn as much interest as he invested?
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