Area + expression of a variable from the formula - practice problems - page 49 of 50
Number of problems found: 981
- Tereza
The cube has an area of base 144 mm². Calculate the edge length, volume, and area of its surface.
- Cylinder
The cylinder surface is 922 dm². Its height is equal to the radius of the base. Calculate the height of this cylinder.
- R Trapezium
Rectangular trapezium has bases 21 and 10 and area 92 cm². What is its perimeter?
- Rectangular cuboid
The rectangular cuboid has a surface area 4131 cm², and its dimensions are in the ratio 2:4:5. Find the volume of this rectangular cuboid.
- Cone
The circular cone of height 15 cm and volume 5699 cm³ is at one-third of the height (measured from the bottom) cut by a plane parallel to the base. Calculate the radius and circumference of the circular cut.
- Right Δ
A right triangle has one leg 72 cm in length and the hypotenuse 90 cm in size. Calculate the triangle's height.
- Radius
Determine the circle's radius if its perimeter and area are the same numbers.
- Cone A2V
The cone's surface in the plane is a circular arc with a central angle of 126° and an area of 415 cm². Calculate the volume of a cone.
- Right isosceles
Calculate the area of the isosceles right triangle whose perimeter is 26 cm.
- The pipeline
How long is the pipe with an outside diameter of 1.27 m if his coloring consumed 49 kg of color? 1 kg of color coverage is 6 m².
- Arc and segment
Calculate the length of circular arc l, the area of the circular arc S1, and the area of circular segment S2. The circle's radius is 88, and the corresponding angle is (4)/(7) π.
- Heron backlaw
Calculate the unknown side in a triangle with sides 24 and 40 and area 299.6.
- Circle
How big is the area of a circle if its circumference is 51.2 cm?
- The cap
A rotating cone shapes a jester hat. Calculate how much paper is needed for the cap 53 cm high when the head circumference is 45 cm.
- Right triangle
The legs of the right triangle are in the ratio a:b = 2:8. The hypotenuse has a length of 87 cm. Calculate the perimeter and area of the triangle.
- Sphere A2V
The surface of the sphere is 241 mm². What is its volume?
- Garden
Trapezoid garden has parallel sides 19 m and 24 m. Its area is 193.5 square meters. What is the width of the garden?
- Shape
The plane shape has a maximum area 677 mm². Calculate its perimeter if the perimeter is the smallest possible.
- Rhombus problem
The perimeter of the rhombus is 268 m, and its area is 2278 m². Calculate the height of the rhombus.
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