# Examples for 9th grade - page 35

- Cu wire

Copper wire has a length l = 210 m and diameter d = 10 mm. Calculate the weight if density of copper is ρ = 8500 kg/m^{3.}Result round to one decimal place. - Square Number

If to a square of integer number add 49, we get the square of next integer number. What is the original number? - Climb

Road has climbing 1:23. How big is a angle corresponds to this climbing? - R triangle

Calculate the area of a right triangle whose longer leg is 9 mm shorter than the hypotenuse and 4 mm longer than the shorter leg. - Sea

How far can you see from the ship's mast, whose peak is at 11 meters above sea level? (Earth's radius is 6370 km). - Sphere

Surface of the sphere is 2260 cm^{2,}weight is 52.2 kg. What is its density? - Triangle SAS

Calculate area and perimeter of the triangle, if the two sides are 19 cm and 80 cm long and angle them clamped is 90°. - Canister

Gasoline is stored in a cuboid canister having dimensions 44.5 cm, 30 cm, 16 cm. What is the total weight of a full canister when one cubic meter of gasoline weighs 710 kg and the weight of empty canister is 1.5 kg? - Digging

A pit is dug in the shape of a cuboid with dimensions 10mX8mX3m. The earth taken out is spread evenly on a rectangular plot of land with dimensions 40m X 30m. What is the increase in the level of the plot ? - Train expres

At 8.00 strarted from Bratislava to Poprad express Tatry. Cities are distant 340 kilometers. At the same time started from Poprad express Danube to Bratislava. Express Tatry's average speed is 80 km/h, Danube 90 km/h. At what distance from Poprad trains w - Reduce of the volume

Calculate how many % reduce the volume of the cube is we reduced length of each edge by 10%. - Euros

Peter, Jane and Thomas have together € 550. Tomas has 20 euros more than Jane, Peter € 150 less than Thomas. Determine how much has each of them. - Probability

What are the chances that the lottery, in which the numbers are drawn 5 of 50 you win the first prize? - Two masons

Two masons built the garage together - it took 18 days. If they worked independently, the other would work 15 days more than the first. For how many days would build the garage each mason himhelp? - Lathe

Calculate the percentage of waste if the cube with 52 cm long edge is lathed to cylinder with a maximum volume. - Cube 7

Calculate the volume of a cube, whose sum of the lengths of all edges is 276 cm. - Principal and interest

Peter put € 270 principal into bank and at the end of the year on account was € 282. To what annual interest rate that Peter had deposited money in the bank? - Painter

How many euros we will pay for repainting the room shaped cuboid with a length of 4.5 meters, width of 2.5 meters and a height of 3 meters, if for 1 m^{2}with paint we pay € 1.5? - Earth's surface

The greater part of the earth's surface (r = 6371 km) is covered by oceans; their area is approximately 71% of the Earth's surface. What is the approximate area of the land? - Pyramid a+h

Calculate the volume and surface area of the pyramid on the edge and height a = 26 cm. h = 3 dm.

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