# Units - math word problems

- Stadium

A domed stadium is in the shape of spherical segment with a base radius of 150 m. The dome must contain a volume of 3500000 m³. Determine the height of the dome at its centre to the nearest tenth of a meter. - Axial cut

The cone surface is 388.84 cm^{2}, the axial cut is an equilateral triangle. Find the cone volume. - Scale 3

Miriam room is 3.2 meters wide. It is draw by line segment length 6.4 cm on floor plan. In what scale it is plan of the room? - Angles in ratio

The size of the angles of the triangle are in ratio x: y = 7: 5 and the angle z is 42° lower than the angle y. Find size of the angles x, y, z. - Four friends

Four friends shared the money. Vasek got 1/4 of the total amount. Tonda received 1/3 of the rest of the money, Joe got a half from the second residue and Jirka left 80. How much money get together? - Breeder

Seven hens breeder has supplied 350 eggs. How long can deliver, if each of its chickens can withstand at least 5 eggs for week? - Regular quadrilateral pyramid

Find the volume and surface of a regular quadrilateral pyramid if the bottom edge is 45 cm long and the pyramid height is 7 cm. - Conva

How many liters of water fit into the shape of a cylinder with a bottom diameter 20 cm and a height 45 cm? - Potatoes 6

The farmer brought potatoes to the market. In the first hour he sold two-fifths of the potatoes brought, in the second hour he sold five-sixth of the remaining potatoes, and in the third hour he had sold the last 40kg of potatoes. How many kg of potatoes d - Garden

The garden has a rectangular shape with lengths of 25 and 40 meters. It has been expanded so that each of its size increased by one fifth. How many square meters increased its acreage? - Masons

1 mason casts 30.8 meters square in 8 hours. How long casts 4 masons 178 meters square? - Remuneration

Total remuneration for workers is 47 000 CZK. The second worker received 20% more than the first and third 4000 CZK less than a second employee. How many CZK each received? - Cows

4 cows spent 16 bags of hay in 5 days. How many bags of hay sacks is needed for 5 cows for seven days? - Tailor

Tailor bought 2 3/4 meters of textile and paid 638 CZK. Determine the price per 1 m of the textile. - Failure

Drivers of passenger cars have calculated that at a speed of 60 km/h arrives at destination within 40 minutes. After 20 km refrain five minutes due a technical failure. How fast must go the rest of the way to the finish came at the scheduled time? - Forces

Forces with magnitudes F1 = 42N and F2 = 35N act at a common point and make an angle of 77°12'. How big is their resultant? - Iron cast

What is the weight of cast iron with volume 3575 cubic centimeters. The density of the cast iron is 7600 kg/m3 - Colza

In the agricultural cooperative harvested 525 ares of colza, of which received 5.6 tons of seeds. Calculate the yield per hectare. - Krkonose CZ

Tourist's rod on the tourist route in the Krkonose was 1/5 of its length into the ground. Snow fell in winter and 1/3 of the length of the rod remained above the snow. Find the height of the snow if the length of the part above the snow is 32 cm greater t - Loading car

The car was loaded with 78 boxes weighing 19 kg. How many 25kg boxes can load if the total weight is the same?

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