Units - math word problems

Tetrahedral prism
The height of a regular tetrahedral prism is three times greater than the length of the base edge. Calculate the length of the base edge, if you know that the prism volume is 2187 cm³.
Cube 8
The surface of the cube is 0.54 m². Calculate the length of the cube edge.
Train 2
The train slowed down from 90 km/h to 72 km/h in 5 seconds. How long track travel?
The pot
Diameter of the pot 38 cm. The height is 30 cm. How many liters of water can fit in the pot?
Conversion of units
Complete the following length data
Construct 1
Construct a triangle ABC, a = 7 cm, b = 9 cm with right angle at C, construct the axis of all three sides. Measure the length of side c (and write).
Straight lines
Draw two lines c, d so that c || d. On line c mark points A, B, from point A start perpendicular to line c, from point B perpendicular to line c.
Competition
The organizers of competion wanted to spent big amount of money to pay for the competitors. One third of this amount spent on prizes and the remaining € 5,000 to diplomas. How much was committed for rewards?
Property
The length of the rectangle-shaped property is 8 meters less than three times of the width. If we increase the width 5% of a length and lendth reduce by 14% of the width it will increase the property perimeter by 13 meters. How much will the property cos
New computer
New computer process a certain amount of data for 6 hours. For how many hours will process the same amount of data older computer that has a quarter lower performance?
Diamond ABCD
In the diamond ABCD is the diagonal e = 24 cm and size of angle SAB is 28 degrees, where S is the intersection of the diagonals. Calculate the circumference of the diamond.
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?
Concert
On a Concert were sold 150 tickets for CZK 360, 235 tickets for 240 CZK and 412 for 180 CZK. How much was the total revenues for tickets?
Cube containers
Two containers shaped of cube with edges of 0.7 m and 0.9 m replace a single cube so that it has the same volume as the original two together. What is the length of the edges of the new cube?
Traffic laws
Under traffic regulations, car lights can illuminate the road up to a maximum of 30 m. To check the reach of the dipped-beam lights of their car, Peter stopped car at 1.5 m from the wall. The dipped-beam headlights are 60 cm high. At what height on the w
Minutes
Determine the difference in minutes: T₁ = 2 3/20 h T₂ = 2.3 h
Rounding
What width and length in centimeters may have rectangle land when round the dimensions to the meter , the width is 5 m and length 7 meters?
Mouse Hryzka
Mouse Hryzka found 27 identical cubes of cheese. She first put in a large cube out of them and then waited for a while before the cheese cubes stuck together. Then from every wall of the big cube she will eats the middle cube. Then she also eats the cub
Pupils
Two classes to collect money. Boys are four sevenths pupils. In time did not pay a quarter of the boys and a sixth of girls, which together mean 12 sinners. How many pupils attend this two classes ?
Ships
Red ship begins its circuit every 30 minutes. Blue boat begins its circuit every 45 minutes. Both ships begin their sightseeing circuit in the same place at the same time always at 10:00 o'clock. a / What time does meet boat again? b / How many times a d

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