Square (second power, quadratic) - math word problems - page 51 of 150
Number of problems found: 2982
- A plane vs. sphere
The intersection of a plane is 2 cm from the sphere's center, and this sphere is a circle whose radius is 6 cm. Calculate the surface area and volume of the sphere. - Height - the ladder
At what height does the 15 m ladder touch the wall if its lower end is 2.5 m away from it? - Largest possible cone
It is necessary to make the largest possible cone from an iron rod in the shape of a prism with dimensions of 5.6 cm, 4.8 cm, and 7.2 cm. a) Calculate its volume. b) Calculate the waste. - The length 2
The length of a rectangle is 12y² – 15y + 8, and the width is 7y – 11. Find the area of the rectangle. - The body
The body slides down an inclined plane, forming an angle α = π / 4 = 45° under the action of a horizontal plane under the effect of friction forces with acceleration a = 2.4 m/s². At what angle β must the plane be inclined so that the body slides on it af - Triangle
In triangle ABC, there is a point S with the center of the inscribed circle. The area of quadrilateral ABCS is equal to four-fifths of the area of triangle ABC. The lengths of the sides of triangle ABC expressed in centimeters are all integers and the - Surface 40621
The surface of the sphere is 535 m². What is its volume? - Barrel-shaped 40601
The barrel-shaped cylinder has a volume of 9.42 hl, and the inner diameter of the bottom is 12 dm. Calculate the area of the barrel shell in m². Solve in general first. - Quadrilateral 40551
Find the volume and surface area of a regular quadrilateral pyramid ABCDV if its leading edge has a length a = 10 cm and a body height h = 12 cm. - Locomotive 40441
What is the pressure on the tracks when a 10-ton locomotive with eight wheels stands on it, and each wheel has a contact area of 4 cm²? - Circumference 40401
Calculate the diameter of a circle whose area in cm² and the circumference in cm are expressed by the same number. - Outside point
The square ABCD and the point E lying outside the given square are given. What is the area of the square when the distance | AE | = 2, | DE | = 5 a | BE | = 4? - Calculate 40091
Calculate the size of the cube edge if the diagonal of the wall is 8 cm. - Consumption 40011
Karel calculates the consumption of paint for coating the floor in the clubhouse. The clubhouse is 3.4 m long and 2.5 m wide. 0.7 kg of paint is used per 1 m². One can contain 0.8 kg of paint. Calculate the total consumption of paint. How many cans of pai - Calculate 39981
The land on which the car service stands is shaped like a trapezoid with bases 98m and 76m long. The distance from the bases is 64m. Calculate the price of the land; if 1 m² of land costs 14 €? - Atmospheric 39931
The area of the horizontal plate is 0.80 m². The atmospheric pressure around the plate is 1100 hPa. 1. How much pressure does the air exert on the plate from above? 2. What is its direction? 3. Is the magnitude of this force different if the plate is tilt - The sum
The sum of the squares of two immediately following natural numbers is 1201. Find these numbers. - Pepíček 39811
Pepíček went to school on the first day. Dad made him a paper cone for sweets in the shape of a cone with a side length of 50 cm and a base radius of 10 cm. How many cm² of paper did he need to make the cone? - He tile
The tile has the shape of an isosceles triangle, the base of which is 4 cm long, and the corresponding height is 6 cm long. At least how many tiles are needed to cover a wall containing 2.4 m² - Balloon flight
From the pilgrimage, Nikola has a balloon on a two-meter-long string, the end of which is held 60 cm above the ground. The balloon floats diagonally from Nikola and is 145 cm horizontally away from her. How high is the balloon from the ground?
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