Units - math word problems

Dusan
a) Dusan break two same window, which has triangular shape with a length of 0.8 m and corresponding height 9.5 dm. Find how many dm² of glass he needs to buy for glazing of these windows. b) Since the money to fix Dusan has not, must go to the paint jo
Family
Family has 4 children. Ondra is 3 years older than Matthew and Karlos 5 years older than the youngest Jane. We know that they are together 30 years and 3 years ago they were together 19 years. Determine how old the children are.
Flywheel
Flywheel turns 450 rev/min (RPM). Determine the magnitude of the normal acceleration of the flywheel point which are at a distance of 10 cm from the rotation axis.
Ferris wheel
Ferris wheel reaches to 22 m tall and moves at the speed of 0.5m/s. During one drive wheel rotates three times. What is the total drive time?
Journey
Charles and Eva stands in front of his house, Charles went to school south at speed 5.4 km/h, Eva went to the store on a bicycle eastwards at speed 21.6 km/h. How far apart they are after 10 minutes?
Nightingale
Nightingale sang five seconds for 5 hours and 5 minutes. How many seconds were missing to sing 10 hours?
Children
Margaret and Zdena weighs the same and Petra 3 kg more. Together weigh 156 kg. How much does they weigh?
Grandmother's clocks
Grandmother's clock is late every hour by half a minute. Grandmother it by set exactly at 8.00 am. How many hours will show after 24 hours.?
Alfa, beta, gama
In the triangle ABC is the size of the internal angle BETA 8 degrees larger than the size of the internal angle ALFA and size of the internal angle GAMA is twice the size of the angle BETA. Determine the size of the interior angles of the triangle ABC.
Cube 6
Volume of the cube is 216 cm³, calculate its surface area.
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?

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