Area of a shape Conversion Word Problems - page 15 of 32
Number of problems found: 639
- Hall
A rectangular hall is to be paved with square tiles with a side length of 15 cm. The hall has a length of 18 meters and a width of 3 m. How many tiles do you need to buy if 2 percent of the amount are damaged during the work? - Trapezoid field
The field between the two parallel roads is shaped like a trapezoid with 180 m and 100 m long bases. The distance between the roads is 80 m. When the yield of this type of cereal is 8.5 tons from 1 hectare, how many tons of barley were harvested in the fi - Isosceles trapezoid
A father decided to replace the tabletop, which is shaped like an isosceles trapezoid, with parallel sides of 120 cm and 60 cm, and a shoulder that is 50 centimeters long. How much does it pay for a new plate and a square meter worth 17 euros? - Dipole - complex power
For a dipole, calculate the complex apparent power S and the instantaneous value of the current i(t), given: R=10 Ω, C=100uF, f=50 Hz, u(t)= square root of 2 * sin( ωt - 30°). Thanks for any help or advice. - Wool ball
Mrs. Black used 1.2 kg of wool to knit the sweater. The shop sold a wool ball weighing 100 grams for 39 CZK. How much money would she save if she knitted the sweater herself than if she bought it for CZK 720 in the shop? (CZK is Czech currency = Kč) - Studio flooring
The television studio plan is made on a scale of 1:150. It shows a rectangular studio measuring 5 cm and 6 cm. If we pay 356 crowns for 1 m² of floating floor, how many crowns will we pay to cover the studio with a floating floor? - Black building
Jozef built a building with a rectangular footprint of 3.9 m × 6.7 m. Calculate by what percentage the building exceeds the legal limit of 25 m² for a small building. A building constructed without planning permission is called an illegal building. Also c - Cu thief
A thief stole 25 metres of copper wire with a cross-sectional area of $s mm². Calculate how much money the thief receives by selling it as scrap if copper fetches 5.1 EUR/kg. The density of copper is 8.96 t/m³. - Territory
In an old legend about the founding of Rome, it is said that Romulus and Remus could obtain for their city as much land as a single hide from a bull would cover. Romulus and Remus came up with a trick, they cut the hide into strips and with them bounded t - Cardboard box
Peter had a square piece of cardboard whose edge length was an integer number of decimetres. He cut a 3 dm square from each corner and folded up the sides to make a box that held exactly 108 unit cubes (each with a 1 dm edge). Julia cut 2 dm squares from - Wallpapering a room
The walls of a room are to be covered with wallpaper from floor to ceiling. The room is rectangular. It is 3 m wide, 5 m long, and 2.5 m high. In one wall there is a door, which together with the frame occupies a rectangle with dimensions 80 cm and 2 m. I - Gardening - beet
The father wants to plant beet in spring. He bought at the garden centre a package containing 3 g of seeds. On the back of the package it is stated that for sowing 10 m² of flower bed, 15 g of seed is recommended. The father wants to sow the entire purcha - Hydrostatics
A) Calculate the hydrostatic pressure at the bottom of the Mariana Trench. The density of seawater is 1,030 kg/m³. What depth do you need to look up in an atlas or on the Internet? B) Calculate the pressure force acting on a submarine with a surface area - Dentist
A doctor lifts a chair with a patient using a hydraulic device. The area of the smaller piston is 5 cm². The area of the larger piston is 200 cm². The mass of the chair is 30 kg, the mass of the patient 100 kg. Will the doctor lift the chair with the pati - Triangle - many properties
In a right triangle ABC with a right angle at the vertex C, it is given: a = 17 cm, Vc = 8 cm. Calculate the length of the sides b, c, its area S, the perimeter o, the length of the radii of the circles of the triangle circumscribed by R and inscribed r a - Goat and circles
What is the radius of a circle centered on the other circle, and is the intersection of the two circles equal to half the area of the first circle? This task is the mathematical expression of the role of agriculture. The farmer has circular land on which - Dusan
A) Dean breaks two same windows, which have a triangular shape with a length of 0.8 m and a corresponding height of 9.5 dm. Find how much dm² of glass he needs to buy for the glazing of these windows. b) Since the money to fix Dean has not been, it must g - Reconstruction of the corridor
Calculate how many minutes the travel time will be reduced on a 213 km long railway corridor if the maximum speed increases from 120 km/h to 160 km/h. Calculate how many minutes the travel time will be shortened if the train must stop at 6 stations, decel - Triangle
Plane coordinates of vertices: K[9, 5] L[-4, 8] M[3, 20] give Triangle KLM. Calculate its area and its interior angles. - Calculate sides
In the triangle, the side length AB = 6 cm, the height to side c = 5 cm, and the angle BCA = 35°. Calculate sides a b.
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