Area + expression of a variable from the formula - practice problems - page 3 of 48
Number of problems found: 941
- Cylinder 82991
Please express r from the formula for the surface of the cylinder. - Rectangular 82803
A rectangular flower bed, one side formed by a wall, must be fenced off with 8-meter-long mesh. What should the flower bed length be so the content is as large as possible? - Rectangle 82740
A square in a grid contains 36 squares. This is one-fifth of the number of squares of a rectangle whose side is 30 squares long. What is the length of the other side of the rectangle? Thank you - Determine 82724
A right triangle has an area of 36 cm². A square is placed in it so that two sides of the square are parts of two sides of a triangle, and one vertex of the square is in a third of the longest side. Determine the content of this square. - Construction 82703
The plot of land for constructing family houses is shaped like a rectangular trapezoid with bases of 21m and 11.2m. For CZK 2,500 per square meter, the value of the land is calculated at CZK 1,352,400. What would be the length of wire mesh needed to fence - Calculate 82690
A cone of rotation with a height of 18 cm and side length s = 45 cm is given. Calculate the surface area and volume. - Parallelogram 82626
Calculate the area of a parallelogram if we know the perimeter is 23 cm, the diagonal is 8.5 cm, and one side is 1.5 cm longer. - Calculated 82619
When modifying the school plot in the shape of a rectangle, the deviation was calculated if we increased the length and width of the plot by 1m and its area by 22 m². If we reduce the length of the plot by 2m and increase its width by 1m, its area will de - Cube-shaped 82606
The paper box is cube-shaped. 2400 cm² was used for its production. Bends for gluing the walls are omitted. What is the volume of the box? - Calculate 82567
The volume of a cuboid with a square base is 64 cm3, and the body diagonal deviation from the base's plane is 45 degrees. Calculate its surface area. - Calculate 82549
The cylinder has a shell surface of 88 square cm and a volume of 176 cubic cm. Calculate the radius, height, and surface area of the given solid. - Circumference 82489
An isosceles trapezoid has one base twice as short as the other. Its content is 42cm², and its height is 4cm. Calculate its circumference if you know that the arm is 5.3 cm long. - Perpendicular 82473
In the right triangle KLM, the hypotenuse l = 9 cm and the perpendicular k = 6 cm. Calculate the size of the height vl and the line tk. - Cone-shaped 82466
The cone-shaped glass has a volume of 2.5 dl and a diameter of 13 cm. How much cocktail is left in the glass if the level only reaches half the height of the glass? - Calculate 82459
Calculate the depth of a pool that is 10 m long and 5 m wide if its volume is 65 m³ - Rectangle 82456
The sides of the rectangle are in the ratio 5 : 8. Its perimeter measures 208 cm. Determine the content of this rectangle. - Circular 82418
A circular segment has an area of 6.04 cm², the central omega angle is 15 degrees, what is the radius? - Right-angled 82416
What are the sides of a right-angled triangle with a perimeter of 45 centimeters and a volume of 67.5 cm²? - Determine 82394
Determine the equation of the circle that passes through the point M(-1,2) and N( 3,0) and whose center lies on the line p: x=-3+t, y=-1+t, - Trapezoidal 82377
The trapezoidal garden has parallel sides of 14m and 20m, and its area is 136 square meters. How wide is the garden?
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