Unit conversion practice problems - page 93 of 123
Number of problems found: 2441
- Big tower
From a tower 15 meters high and 30 meters away from the river, the width of the river appeared at an angle of 15°. How wide is the river in this place?
- Angles by cosine law
Calculate the size of the angles of the triangle ABC if it is given by: a = 3 cm; b = 5 cm; c = 7 cm (use the sine and cosine theorem).
- The factory
The factory ordered 500 hexagonal steel bars in square sections with 25 mm sides. Suppose the steel density is 7,850 kg. m-3, how many cars with a load capacity of 3 tonnes will be needed to move the bars?
- Approximately 83106
The castle courtyard, with an area of 100 m², is paved with oak cubes with an edge of 8 cm. Approximately 164 bricks were used to pave m². One dm³ of oak wood weighs 0.8 kg. Calculate the weight of all the bricks used to pave the courtyard.
- Sphere-shaped 20723
The sphere-shaped reservoir has a volume of 282 hl. Calculate the material consumption in m² for its production, assuming 8% for joints and waste, and round the final result to the nearest total.
- Calculate 16523
We have a block with a square base and a height of 12 dm. We know that its volume is 588 cubic dm. Calculate the surface area of a cuboid with the same base but 2 cm more height. You write the result in dm².
- Hypotenuse 84015
In a right triangle ABC, the hypotenuse c = 8 cm and the side b = 4 cm. What is the size of angle α?
- Rectangular 82270
The plot has a rectangular shape of 10.5 m and 15.5 m. A square cabin with a side of 50 dm is built on the plot. How many square meters is the rest of the plot?
- Production 7636
The production of kites requires 12 square meters. The paper is 125 cm wide. How many meters of paper do we need to buy?
- Flowerbed
The flowerbed has a length of 3500mm and a width of 1400mm. How much foil is needed to cover the flowerbed? How many m² of foil was consumed for its production (add 10% of the material to the joint and waste)? How many liters of air is inside the enclosur
- The ladder
The ladder makes an angle of 2°30' with the wall and reaches a height of 2.3 m. How far is the ladder from the wall?
- Angle of climb
At what angle does the road rise if the climb is 10%?
- Maple
The maple peak is visible from a distance of 7 m from the trunk from a height of 1.8 m at an angle of 46°. Find the height of the maple.
- Outside 30931
The water barrel, 90 cm high and 60 cm wide, has no lid (upper base). How much paint do we need to paint the barrel from the outside? If 1 kg of paint is enough for 8m².
- Transport 7890
The sheet metal keg for oil transport has the shape of a cylinder with a volume of 62.8 liters and a height of 0.5 m. How many kg of paint do we need to paint if we need 1 kg of paint for 1.5 m²?
- Company 6387
At the foot of the house are three columns with a square base 2.5 m high and 6 dm thick. How much do we pay if we want to cover them with boards and the company charges 12 euros per 1 square meter?
- Dimensions 4525
Cubed sugar in a 1 kg package is in a box with 20 cm, 12 cm, and 5 cm dimensions. a) How many sugar cubes with dimensions 2.5 cm, 2.5 cm, and 1 cm fit in the box? b) Calculate the mass of one cube. c) How many square meters of cardboard are needed to make
- People 17333
The room is 240 cm high and has a volume of 48 m³. How many people can work in it when there is 7 m² of floor space per person?
- Is right triangle
Find out if the triangle ABC (with right angle at the vertex C) is right if: a) a = 3dm, b = 40cm, c = 0.5m b) a = 8dm, b = 1.2m, c = 6dm
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