Square (second power, quadratic) - math word problems - page 10 of 150

Number of problems found: 2982

Legs and ratio
For the legs of a right triangle, a : b = 6:8. The hypotenuse has a length of 61 cm. Calculate the perimeter and area of this triangle.
Boxes
Boxes in the shape of a cuboid/without a lid/we decided to paint all sides/both inside and outside. The dimensions of the bottom are 60 cm X 30 cm and the height is 12 cm. How many cans of paint will be needed to paint 10 such boxes if one can last for pa
RRL Basics
What is the length of the smaller base of an isosceles trapezoid and the height, if a = 9 dm, the side is 6 dm and the angle ACB is 90 degrees?
Storm 4
Approximately 4000 trees grow on 1 hectare of forest. During the storm of 20.11.2004, 95% of the trees on 100km² of the forest cover of the High Tatras were destroyed. How many trees were destroyed?
In a regular 5
In a regular triangular prism ABCV, the deviation of the side wall and the base plane is α = 45°. Determine the deviation of the side edge and the base plane.
Bathroom 3
The bathroom measures 300x210 cm. What are the largest square tiles and how many will I need to cover the floor?
Construct 22
Construct a rhombus ABCD if the diagonals are f=7cm, e=5 cm.
Base RR odd
The base of the prism is an isosceles trapezoid ABCD with bases AB = 12 cm, and CD = 9 cm. The angle at vertex B is 48° 10'. Determine the volume and area of the prism if its height is 35 cm.
RR trapezoid 12
In an isosceles trapezoid ABCD, calculate the missing lengths of the sides when a=46cm, b=85cm height=84cm.
Area 51
The area of the triangle is 54.39, alpha is 32 °, and gamma is 144 °.
Calculate
A rotating cone has a diameter of 16 cm and a side of 10 cm. Calculate the surface area and volume of the solid.
Quadrilateral - irregular
Find the length of the side d = |AD| in quadrilateral ABCD: a= 35m, b= 120m, c=85m, angle ABC = 105 degrees, angle BCD= 72 degrees
Padded 2
How many square meters are needed to make 40 pieces of wooden padded equilateral triangles with sides of 30 cm and heights of 26 cm?
Fountain
Around a circular fountain with a diameter of 2m, there is a 0.5m wide strip of land for planting roses. How many m² of land do roses occupy?
Tank 30
A water tank has the shape of a cuboid with a square shape with a side of 2m. The depth of the tank is 3m. How many more liters of water can fit in the tank if both its base edges are increased by 1m and the tank is deepened by half a meter?
Rhombus 48
A rhombus consists of four identical rhombuses with an area of 42 m². The angle alpha of each rhombus is 60°. What is its perimeter?
Observation tower
The observation tower is covered with a roof in the shape of a regular quadrangular pyramid with a base edge of 8 m and a height of 6 m. 60% of the roofing needs to be replaced. How many m² do you need to buy?
On a bicycle 5
Klára left Hořické náměstí on her bicycle and rode to Hradec Králové at an average speed of 20 km/h. Jenda left the same square on his bicycle 15 minutes after Klára left and moved in the same direction as Klára at an average speed of 30 km/h. How long di
Hip-roof
The roof consists of two isosceles trapezoids and two isosceles triangles. The roof plan is a rectangle with dimensions of 8m and 14m, and the roof ridge is 8m long. The height of the trapezoid is 5m, the height of the triangles is 4.2m. How many tiles ar
Necessary paint
3 kg of paint is enough for 18 m² of area. How much paint is needed to paint the walls and bottom of a swimming pool with dimensions of 25 m, 15 m, and a depth of 1.5 meters? Thank you

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