Physical quantities - math word problems - page 242 of 298
Number of problems found: 5952
- Pyramid
Cuboid ABCDEFGH has dimensions AB 3 cm, BC 4 cm, CG 5 cm. Calculate the volume and surface area of a triangular pyramid ADEC. - Map distance calculation
On a map with a scale of 1:40000, the distance between two mountain peaks is given by a segment of 16 cm. How far will the same vertices be on a map with a scale of 1:140000? Round the result to millimeters. Solve using the trinomial - Car range
Calculate the maximum range of a car if you can spend 5 euros, diesel costs 1.6 EUR/l, and the car's fuel consumption is 5.4 l/100 km. - 2d shape
Calculate the area of a shape in which an arbitrary point is not more than 3 cm from the segment AB. The length of segment AB is 5 cm. - Lunch
Seven classmates go every day for lunch. If they always come to the front in a different order, will it be enough school year to take off all the possibilities? - Cube pyramid volume
The cube ABCDEFGH has an edge of length 3 cm. Calculate the volume of the pyramid ABCDH. - Sphere diameter
The sphere has a diameter of 70 cm. Calculate its surface area and volume. - A prism
A prism with an altitude of 15 cm has a base in the form of a regular octagon inscribed in a square of 10 cm x 10 cm. Find the volume of the prism. - The tetrahedron
Calculate a regular tetrahedron's surface area and volume 4.9 cm high, and the base edge has a length of 6 cm. - Trapezoidal prism
Calculate the volume of a prism with a trapezoidal base with side a = 6 dm, side c = 4 dm, and height of the prism = 8 dm. The height of the trapezoid is va = 3 dm. - Cube volume calculation
Calculate the cube's volume if its edge length is 5 cm. - Rotating cone
The rotating cone has a base diameter of 18 dm and a height of 12 dm. Calculate the volume V. - A square base
A solid right pyramid has a square base. The base edge length is 4 centimeters, and the pyramid's height is 3 centimeters. What is the volume of the pyramid? - Shell of cylinder
Calculate the area of the shell of the 1.6 m height cylinder with a base radius of 0.4 m. - Vehicle speed ratio
The speeds of two motor vehicles are in the ratio 7:4. How many kilometers will the slower vehicle travel simultaneously, if the faster vehicle travels 52.5 km? - Solution mixtures
We have 1 liter of 80% solution. Every hour, pour 1 dl of the solution, add 1 dl of water (a 0% solution), and mix. What percent solution will we have after two mixings? - Penny free fall
A man drops a penny from the top of a 500 m tall building. After t seconds, the penny has fallen a distance of s meters, where s(t)=500-5t². Determine the average velocity between 1 s and 5 s. - Bank interest percentage
Kate had €660 in the bank, for which she received €33 in interest at the end of the year. What was the interest rate in percent? - Bank interest rate
Martina invested 1,300 euros in the bank, and after a year, the bank credited her with an interest of 26.65 euros. What was this bank's annual interest rate? - Motor efficiency
The electric motor with a power input of 25 kW works with an efficiency of 80 percent. He will do the work in 6 hours. What is the performance, and what part of the work is the loss?
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