Area + expression of a variable from the formula - practice problems - page 5 of 50
Number of problems found: 981
- 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 of 5 : 8. Its perimeter measures 208 cm. Determine the area 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?
- Diameter 82212
How many meters of copper wire with a diameter of d=3 mm will be produced from 60 kg of copper scrap if the specific gravity of copper is p=9g/cm³?
- Calculate 82144
Calculate the height of side b (v_b) of triangle ABC with vertices A[4;1;3] B[2;3;3] and C[1;1;3].
- Equilateral 82136
A three-sided prism with a base in the shape of an equilateral triangle has a volume of 370 dm³. What is the volume of its base if it is 50 cm high?
- Calculate 82078
The volume of a cube is 0.512 m³. Calculate its surface area.
- Calculate 82077
The surface of the cube is 150 dm². Calculate its volume.
- Quadrilateral 82066
Calculate the volume of a regular quadrilateral pyramid with a square base of side a = 3 cm and side length b = 7 cm.
- Through 82036
5 m³ of water flows through the pipe in 1 second at a maximum speed of 2 m/s. What is the pipe radius?
- Cone slope
Determine the volume and surface area of a cone whose slope of length 8 cm makes an angle of 75 degrees with the plane of the base.
- Determine 82012
There is a 30 cm layer of sand in the landing area. Determine the width of the landing pad if its length is 5 m and the volume of sand in it is 2.7 m³.
- Right-angled 81989
Using Euclid's Theorems and Pythagoras' Theorem, complete the following parameters describing a right-angled triangle ABC with a right angle at vertex C if we know b=10, cb=8
- Calculate 81939
The block surface is 5,632 m². The lengths of the edges are in the ratio 1: 2 : 3. Calculate the volume of the cuboid.
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