Square root - math word problems - page 56 of 65
Number of problems found: 1286
- Pit
The pit is 1.2 m deep and in the shape of a truncated pyramid with a rectangular base. Its length and width are the top 3 × 1.5 m and the bottom 1 m × 0.5 m. To paint one square meter of the pit, we use 0.8 l of green paint. How many liters of paint are n
- Triangular prism
The plane passing through the edge AB and the center of segment CC' of regular triangular prism ABCA'B'C' has an angle with base 30 degrees, |AB| = 15 cm. Calculate the volume of the prism.
- Mystery of stereometrie
Two regular tetrahedrons have surfaces 92 cm² and 207 cm². In what ratio are their volumes? Write as a fraction and as a decimal rounded to 4 decimal places.
- Suzan
My daughter reaches X years in X squared, said Susan's father in 2009 during her birthday celebration. When will the given fact become a reality, and how many years at that time will Susan have?
- De Moivre's formula
There are two distinct complex numbers, such that z³ is equal to 1 and z is not equal to 1. Calculate the sum of these two numbers.
- Tiles
From how many tiles, 20 cm by 30 cm, we can build a square of maximum dimensions if we have a maximum of 275 tiles.
- Ladder
8.3 meters long ladder is leaning against the wall of the well, and its lower end is 1.2 meters from this wall. How high from the bottom of a well is the top edge of the ladder?
- Triangle
The triangle has known all three sides: a=4.6 m, b=7.4 m, c= 3.8 m. Calculate the area of this triangle.
- Box
The cardboard is a box-shaped quadrangular prism with a rhombic base. Rhombus has a side 5 cm, one diagonal 8 cm long, and the box's height is 12 cm. The package will open at the top. How many cm² of cardboard do we need to cover overlap and joints that a
- Diamond
The rhombus has a side 22 cm and one diagonal 35 cm long. Calculate its area.
- Roots
Calculate the square root of these numbers:
- Distance
What is the distance between the origin and the point (-11; 13)?
- Vector sum
The magnitude of the vector u is 2 and the magnitude of the vector v is 11. The angle between vectors is 64°. What is the magnitude of the vector u + v?
- Pizza
Pizza with a diameter of 40 cm weights 409 g. What diameter will a pizza weigh 764 g made from the same cloth (same thickness) and decorated?
- Diagonals
Calculate the length of the rhombus's diagonals if its side is long 21 and one of its internal angles is 10°.
- Chord - TS v2
The radius of circle k measures 72 cm. Chord GH = 11 cm. What is TS?
- Isosceles IV
In an isosceles triangle ABC is |AC| = |BC| = 13 and |AB| = 10. Calculate the radius of the inscribed (r) and described (R) circle.
- Prism X
The prism with the edges of the lengths x cm, 2x cm, and 3x cm has a volume 29478 cm³. What is the area of the surface of the prism?
- Tower
The top of the tower is a regular hexagonal pyramid with a base edge 6.1 meters long and a height 11.7 meters. How many m² of the sheet is required to cover the top of the tower? We must add 9% of metal for waste.
- Axial section
The axial section of the cylinder is diagonal 45 cm long, and we know that the area of the side and the base area are in ratio 6:5. Calculate the height and radius of the cylinder base.
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