Physical quantities - math word problems - page 220 of 298
Number of problems found: 5952
- Cubes from beam
The edge of the cube-shaped die is 3.5 cm long. How many of these cubes can be made from an oak beam 3.5 m long and a square cross-section with a side 35 cm long? - Pyramid four sides
A regular tetrahedral pyramid has a body height of 38 cm and a wall height of 42 cm. Calculate the surface area of the pyramid; the result is round to square centimeters. - Rotating cone
Calculate the volume and the surface area of a rotating cone of base radius r = 2.3 dm and a height h = 46 mm. - Octahedron
All walls of the regular octahedron are identical equilateral triangles. ABCDEF octahedron edges have a length d = 6 cm. Calculate the surface area and volume of this octahedron. - Tank and water
We poured water into a cylindrical tank with 3.5 liters. If the tank's base diameter is 3 dm, how high is the water level? - Village railway distance
The picture shows three villages, A, B, and C, and their mutual air distances. The new straight railway line is to be built so that all the villages are the same distance from the line and that this distance is the smallest possible. How far will they be - Truncated pyramid
The concrete pedestal in a regular quadrilateral truncated pyramid has a height of 12 cm; the pedestal edges have lengths of 2.4 and 1.6 dm. Calculate the surface of the base. - Cistern water calculation
The cistern of the public water supply has a cube-shaped interior. The edge of this cube is 5 m long. a) How much water is in the reservoir when it is completely filled? (Express this volume in m³ and hectoliters. ) b) How high does the water reach in the - Paper box
Calculate whether 11 dm² of paper is sufficient for gluing a box without a lid with bottom dimensions of 2 dm 15 cm and 12 cm high. Write result as: 0 = No, 1 = Yes - Giant coin
From coinage, metal was produced into giant coins and applied so much metal, such as producing 10 million actual coins. What has this giant coin's diameter and thickness if the ratio of diameter to thickness is the same as an actual coin, which has a diam - Dance pair duration
Thirty-two boys and 34 girls came to the dance. How many different dance pairs can they make, given that each team is given: they can only dance for 1 minute and then take turns in 5 seconds? Calculate how long the dance evening would last for all the pai - Nitrogen gas
In a cylinder with a piston, there is nitrogen N2 with a volume of 5 liters, a temperature of 25 degrees Celsius, and a pressure of 200 kPa. We very slowly compress the gas in the cylinder to half its volume while its temperature does not change. Determin - Trip kilometers
The route of the tourist trip measures 28 cm on a map with a scale of 1:50000. The average walking speed is 4 km/h. How many kilometers does the trip measure? How many hours will the students spend on the trip? - Combined interest
Combined interest: Carol has deposited CZK 100,000 in the bank with an annual interest rate of 1.5%. The money was put into the account on 5.5.2016 and withdrawn all before Christmas on 20.12.2016. How much money did she withdraw? - Snowman column shadow
Near the lamppost, the children built a 1.65 m tall snowman. The snowman's shadow is 135 cm long. The shadow of the lamppost is 4.05 m. How tall is the lamppost? - Triangle similarity decision
Decide whether the triangles are similar. Choose between Yes/No. ∆ YUO: y= 9 m, u= 17 m, o= 12 m, ∆ ZXV= z= 207 dm, x= 341 dm, v= 394 dm - Lighthouse
Marcel (point J) lies in the grass and sees the top of the tent (point T) and, behind it, the top of the lighthouse (P). | TT '| = 1.2 m, | PP '| = 36 m, | JT '| = 5 m. Marcel lies 15 meters away from the sea (M). Calculate the lighthouse distance from th - Pool water hectoliters
How many hectoliters of water are in a rectangular prism-shaped pool if the top is 6 m wide, the bottom is 4 m wide, the pool is 2 m deep, and the pool is 12 m long? - Tent canvas
The tent with the floor has the shape of a regular quadrilateral pyramid with a base edge a = 2.4 m and a height of 1.8 m. How much canvas is needed for the tent? - Pool water calculation
The bottom of the garden pool of circular cross-section has an inner diameter of d = 4 m. The water depth is 0.8 m. How many liters of water can we fill into the pool?
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