Physical quantities - math word problems - page 156 of 177

Number of problems found: 3535

Stadium map area
Find the area of the stadium, which on a map with a scale of 1:16000, has dimensions of 2 cm x 3 cm.
Lake map area
A lake with an area of 3 cm² is drawn in the 1:50,000 scale map. Determine the actual size of the lake.
Children's room
The children's room is a square with a side of 3 m. What is the area of the room layout on a 1:50 scale plan?
Rotary motion
Find the orbital time, rotational frequency, and angular rate of the second and minute hands on the watch.
A pressure
How much compressive force does an aquarium with a bottom area of 0.24 m² exert on the table when a pressure of 3 kPa is created?
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.
Hollow block
A hollow block is a prism with base dimensions a = b = 29 cm and height v = 15 cm. The wall thickness is 4.5 cm. What percentage of the block's volume is its cavity?
Cylinder cube percentage
Calculate the percentage of the cube volume that represents the volume of the cylinder inscribed in the cube. The cylinder's bases are circles inscribed on two opposite walls of the cube with an edge a = 14 cm.
Water tank
There is water in the block-shaped tank with dimensions of 3 m, 1.5 m 5 m. It occupies 70% of the tank volume. Find the volume of water in the tank (in hl).
Column brick prism
The 4 m high column is a prism with a rhombus figure with an edge 80 cm long and a corresponding height of 70 cm. It is built of bricks. How many bricks are needed to build it if one brick has a volume of 1.4 cubic decimeters?
Snow wall
The boys want to build a defensive wall out of the snow for the ballpark. They want it to be 5 meters long and 1.5 meters high. They can make and transfer 50 cm cubes from snow. How many such cubes must he make to build his wall?
Interest rate months
Calculate the interest rate if the principal amount of 500 is 5 euros in interest in 5 months.
Classroom clock
On a classroom clock, the large (minute) hand on the clock will travel through an angle of 120 degrees in some time. What angle does the small (hour) hand pass in this time?
A map 4
A map represents every 4 miles with 1 inch. If a school and a bank are 12 miles apart, how far apart are they on the map, in inches?
Makarska riviera
The motor boat departs from Baška Voda at 19:15 and arrives in Makarska at an average speed of 30 km/h at 20:00. However, a group of tourists from Germany must be in Makarska a third of the time earlier. What should the average speed of the boat be?
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
Rainwater Tank Volume
What volume must a cylinder-shaped tank have to collect rainwater from the flat roof of a cube-shaped house if the house is 12 m wide and reports 50 mm of rainfall?
Rectangle pool
The cube-shaped pool is 50 m long and 16 m wide. They poured 12,000 hl of water into it. Calculate the surface area of the pool that is wetted by water.
A sphere
A sphere has a radius of 5.5 cm. Determine its volume and surface area. A frustum of the sphere is formed by two parallel planes. One through the diameter of the curved surface of the frustum is to be of the surface area of the sphere. Find the height and
Classroom painting cost
The classroom is 11 m long. The width is 6.5 m, and the height is 4 m. We will pay CZK 7.50 for 1 m of square painting. How much will it cost to paint a classroom? They rounded to the crowns.

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