Square (second power, quadratic) + expression of a variable from the formula - practice problems - page 45 of 46
Number of problems found: 904
- R Trapezium
Rectangular trapezium has bases 21 and 10 and area 92 cm². What is its perimeter?
- IS trapezoid
Calculate the length of diagonal u and height v of isosceles trapezoid ABCD, whose bases have lengths a = |AB| = 37 cm, c = |CD| = 29 cm and legs b = d = |BC| = |AD| = 28 cm.
- 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.
- Cube in a sphere
The cube is inscribed in a sphere with a volume 7253 cm³. Determine the length of the edges of a cube.
- Right Δ
A right triangle has one leg 72 cm in length and the hypotenuse 90 cm in size. Calculate the triangle's height.
- 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.
- Square diagonal
Calculate the length of the diagonal of the square with side a = 11 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.
- Chord
In a circle with a radius r=60 cm is the chord, 4× longer than its distance from the center. What is the length of the chord?
- 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?
- Floating barrel
The barrel (cylinder shape) floats on water, the top of the barrel is 8 dm above water, and the width of the surfaced barrel part is 23 dm. The barrel length is 24 dm. Calculate the volume of the barrel.
- 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.
Do you have homework that you need help solving? Ask a question, and we will try to solve it. Solving math problems.