Area - math word problems - page 144 of 157
Number of problems found: 3138
- Sphere
Intersect between the plane and a sphere is a circle with a radius of 60 mm. The cone, whose base is this circle and whose apex is at the center of the sphere, has a height of 34 mm. Calculate the surface area and volume of a sphere. - 3d vector component
The vector u = (3.9, u3), and the length of the vector u is 12. What is, is u3? - Common cylinder
I've quite a common example of a rotary cylinder. Known: S1 = 1 m2, r = 0.1 m Calculate : v =? V =? Can you verify the results? - Percentage 1544
Almost 60% of the country's area is permanent crops. 30% of permanent crops are orchards. What percentage of the area of the state is occupied by fruit orchards? - Trapezoid - hard example
Bases of the trapezoid are: 24, 16 cm. Diagonal 22, 26 cm. Calculate its area and perimeter. - Triangular pyramid
A perpendicular regular triangular pyramid is given: base side a = 5 cm, height v = 8 cm, volume V = 28.8 cm³. What is its area (surface area)? - Percentage of waste
In a square plate with a side 58 cm, we cut four same circles. Calculate the percentage of waste. - Plumber
The plumber had to cut the metal strip with dimensions of 380 cm and 60 cm to the largest squares to no waste. Calculate the length of the sides of a square. How many squares cut it? - Goat
The meadow is a circle with a radius r = 20 m. How long must a rope tie a goat to the pin on the meadow's perimeter to allow the goat to eat half of the meadow? - Triangle
Calculate the triangle sides if its area S = 630 and the second cathetus is shorter by 17. - Interesting property
Plot a rectangular shape has the interesting property that circumference in meters and the area in square meters are the same numbers. What are the dimensions of the rectangle? - Cylinder diameter
The surface of the cylinder is 112 cm². The cylinder height is 5 cm. What is the diameter of this cylinder? - Isosceles trapezoid
Calculate the area of an isosceles trapezoid whose bases are in the ratio of 4:3; leg b = 13 cm and height = 12 cm. - Square room
What is the size of the smallest square room, which can be paved with tiles with dimensions of 55 cm and 45 cm? How many such tiles are needed? - Trapezoid - diagonal
A trapezoid has a length of diagonal AC crossed with diagonal BD in the ratio of 2:1. The triangle created by points A, the cross point of diagonals S, and point D has an area 164 cm². What is the area of the trapezoid? - ISO triangle
Calculate the area of an isosceles triangle KLM if its sides' length is in the ratio k:l:m = 4:4:3 and has a perimeter 352 mm. - Garden pond
The concrete garden pond has the bottom shape of a semicircle with a diameter of 1.8 m and is 72 cm deep. Daddy wants to make it surface. How many liters of water are in the pond if the water level is 33 cm? - Iron sphere
Iron sphere weights 100 kg and density ρ = 7600 kg/m³. Calculate the volume, surface, and diameter of the sphere. - Tank and water
We poured water into a cylindrical tank with 3.5 liters. If the tank's base diameter is 3 dm, how high is the water level? - Rhombus
PQRS is a rhombus. Given that PQ=2 cm & height of the rhombus is given 1.3 cm. Calculate its area.
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