Square (second power, quadratic) + expression of a variable from the formula - practice problems - last page
Number of problems found: 837
- 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 the length of one leg 72 cm and the hypotenuse 90 cm size. Calculate the height of the triangle. - Cone A2V
The cone's surface in the plane is a circular arc with a central angle of 126° and area 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. - Pipe
How long is the pipe with an outside diameter of 0.87 m if his coloring consumed 10 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? - Circle
How big is an area of a circle if its circumference is 51.2 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 surfaced barrel part is 23 dm. 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. - Rhombus problem
The perimeter of the rhombus is 268 m, and its area is 2278 m². Calculate the height of the rhombus.
- Cube wall
The surface of the first cube wall is 64 m². The second cube area is 40% of the surface of the first cube. Find the length of the edge of the second cube (x). - Square diagonal
Calculate the length of the square diagonal if the perimeter is 172 cm. - Crossroads
A passenger car and an ambulance come to the rectangular crossroad, and the ambulance leaves. Passenger car at speed 39 km/h and ambulance at 41 km/h. Calculate the relative speed of the ambulance moving to the car.
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