Square (second power, quadratic) - math word problems - page 13 of 151
Number of problems found: 3005
- Box
A paper box is in the shape of a cube. 2,400 cm² of paper was used to make it. Bends for gluing the walls are not included. Calculate the volume of the box. - Two-kilogram bread
Farmers harvested 3000 kg of rye from one hectare, from which they obtained 2500 kg of flour. 3 kg of flour will make 4 kg of bread. Calculate how many m² of land were used to grow rye, which is needed for 1 two-kilogram loaf of bread. - Chord 24
A chord with length t = r times the square root of two divides a circle with radius r into two circular segments. What is the ratio of the areas of these segments? - Advertising column
An advertising column has the shape of a triangular prism. The height of the prism is 3.5 metres, and the lengths of the base edges are 1.1 m, 2 m and 2 m. The lateral surface of the prism forms the advertising space. The town pays 35,000 CZK for its prod - Repeatition not allowed
How many four-digit numbers can be formed from the numbers 3 5 8 9 if they are not allowed to be repeated? - Compound fractions Solve the compound fraction, use the known formulas, and shorten the: (4a²-12a+9)/(4a-6)
- Glass vessel
The cylinder-shaped glass vessel is 1 m high and has a volume of 196.25 l. Calculate the diameter of the container. - Quadratic without formula
A quadratic equation is given: x²-x-2=0 Without solving this equation, construct a quadratic equation whose roots are the square of the roots of the given equation. - Construction - Euclid
Using Euclid's theorems, construct a triangle ABC with height on side c and size v = √8 cm. Choose the length of the hypotenuse c correctly. Write the construction procedure. - Dimensions - rectangle
One side of the rectangle is 12 cm longer than the other. If we reduce each dimension by a third, the area of the rectangle will be reduced by 60 cm². Determine the dimensions of the rectangle. - Hydraulic lift
Martin needs to lift a 1.5-ton car using a hydraulic device with pistons of sizes 2 cm² and 15 dm². How much force must the device exert on the small piston? - Triangle Area and Perimeter
The area of a right triangle is 240 cm². Determine its circumference if the given lengths are suspended in a ratio of 5:12. - Heptagon perimeter
Calculate a regular heptagon's perimeter if its shortest diagonal length is u=14.5cm. - Triangle and Cone
A right triangle has legs 3 cm and 4 cm long. One cone (let's call it A) was created by rotating this triangle around the long leg, and the other (let's call it B) by rotating it around the shorter leg. Which cone has: a) a larger volume b) a smaller surf - Posters on Cone
The stand on which the posters are stuck has the shape of a cone. It is 2.4m tall. The side of the cone is 2.5 m long. How many 40cmx60cm posters can be stuck on the stand so they do not overlap? - Staircase - escalator
A moving staircase moves downwards at a speed of 0.6 m/s. The staircase makes an angle of 45° with the horizontal. A person weighing 80 kg walks upwards at a speed of 0.9 m/s. Determine the distance covered by the person and the work done by him before he - Intersection + tangents
Given a circle with a radius r = 4 cm and a point A for which |AS| applies = 10 cm. Calculate the distance of point A from the intersection of the points of contact of the tangents drawn from point A to the circle. - Paint the walls
It is necessary to paint the walls and ceiling of the warehouse, which is 10 m long, 4 m wide, and 3 m high. How many CZK (Czech crowns) will it cost to paint if it costs 200 CZK to paint 1 m²? - Rectangular roof
Our house's roof is rectangular. When it rains, the water drains through the gutter. How much water flowed from our roof during a storm when we know that 12 liters of water fell on every 1 m² of surface? The roof width is 6m, the length is 9m, and the slo - Additional Force on Body
A body with a mass of 5 kg moves in a vertical downward direction with an acceleration of a= 12 m/s². What force acts on it in addition to its weight?
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