Square (second power, quadratic) - math word problems - page 12 of 148
Number of problems found: 2958
- Equilateral cone
A cup has the shape of an equilateral cone (side “s” is the same size as the diameter of its base - the axial section is an equilateral triangle) It is supposed to hold 0.2 liters of liquid at a level 1 cm below the rim. Calculate its diameter
- Arbor
Calculate in square meters the area of an arbor whose ground plan is in the shape of a regular hexagon with a side length of 4.5 m.
- Chord and radius
Calculate the radius of a circle whose chord XY is 8 cm long and whose center is 3 cm from the chord.
- Rhombus 47
A rhombus has a side length of 5 m and a longer diagonal length of 8 m. What is the length of the shorter diagonal of the rhombus?
- Regular 4BH
A regular quadrilateral prism has a volume of 864 cm³ and the area of its surface is twice the area of its base. Determine the size of its body diagonal.
- PT - Pythagorean
A right triangle ABC has hypotenuse c and legs a, and b of the following lengths. Estimate the length of its remaining side and compare your estimates with your calculations. a) a = 4 cm; b = 5 cm b) a = 6.8 m; b = 9 m c) a= 8.9 m; b = 1 m d) b= 10 cm; c
- In a right triangle 13
The height of the hypotenuse is 4.8cm. The hypotenuses are in the ratio 4:3. Calculate the perimeter and area of a triangle.
- Decadal - flower bed
The castle park includes a flower bed in the shape of a regular decagon with an area of 432.8 m². Determine the distance between the adjacent vertices of the flower bed.
- 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?
- 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 83662
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?
- Circumference 83645
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.
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