Length + expression of a variable from the formula - practice problems - page 32 of 33
Number of problems found: 654
- Rotary cylinder 2
The base circumference of the rotary cylinder has the same length as its height. What is the surface area of the cylinder if its volume is 250 dm³?
- BMI index
Calculate BMI (body mass index, an index indicating obesity, overweight, normal weight, underweight) man weighing m = 102 kg and height h = 159 cm. The index is calculated according to the equation (formula): BMI = (m)/(h²) With the BMI index, it is possi
- Cube basics
How long is the edge length of a cube with volume 1 m³?
- Swing
A child weighing 12 kg is sitting on a swing at 130 cm from the rotation axis. How far away from the rotation (center) axis must he sit down? His mother weighs 57 kg if she wants to be swung in balance.
- Perimeter and legs
Determine the perimeter of a right triangle if the length of one leg is 75%, the length of the second leg, and its area is 24 cm².
- Cylinder - area
The diameter of the cylinder is one-third the length of the height of the cylinder. Calculate the surface of the cylinder if its volume is 2 m³.
- Median
In the ABC triangle is given side a=10 cm and median to side a: ta= 13 cm, and angle gamma 90°. Calculate the length of the median to side b (tb).
- Right angled triangle
The hypotenuse of a right triangle is 17 cm long. When we decrease the length of the legs by 3 cm, then decrease its hypotenuse by 4 cm. Find the size of its legs.
- Isosceles trapezoid
Calculate the area of an isosceles trapezoid whose bases are in the ratio of 4:3; leg b = 13 cm and height = 12 cm.
- ISO triangle
Calculate the area of an isosceles triangle KLM if its sides' length is in the ratio k:l:m = 4:4:3 and has a perimeter 377 mm.
- Iron sphere
Iron sphere weights 100 kg and density ρ = 7600 kg/m³. Calculate the volume, surface, and diameter of the sphere.
- Rhombus diagonal
The area of a rhombus is 790. One diagonal measures 45. Find the length of the second diagonal.
- Trapezoid ABCD v2
Trapezoid ABCD has a length of bases in ratio 3:10. The area of triangle ACD is 825 dm². What is the area of trapezoid ABCD?
- Prism X
The prism with the edges of the lengths x cm, 2x cm, and 3x cm has a volume 29478 cm³. What is the area of the surface of the prism?
- 7 triangle
The triangle area is 26.7 cm². find the side length l if appropriate height hl = 45.3 cm.
- Water tank
The water tank-shaped cuboid has a width of 2.3 m and a length twice as large. If water flows into 19 liters of water per second during 52 minutes, how high will it reach?
- Tetrahedron
Calculate the height and volume of a regular tetrahedron whose edge has a length of 13 cm.
- Tereza
The cube has an area of base 144 mm². Calculate the edge length, volume, and area of its surface.
- Two cars
Two cars started against each other simultaneously to journey long 230 km. The first car went 48 km/h and the second 56 km/h. What distance will be between these cars 20 minutes before a meeting?
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