Area + expression of a variable from the formula - practice problems - page 48 of 50
Number of problems found: 981
- 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.
- Volume and surface
Calculate the volume and surface area of the cylinder when the cylinder height and base diameter are in a ratio of 3:4, and the area of Lateral Surface Area (LSA) is 24 dm².
- 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.
- Fire tank
How deep is the fire tank with the dimensions of the bottom 7m and 12m, when filled with 420 m³ of water?
- Rhombus 2
Calculate the rhombus area with a height v=48 mm and shorter diagonal u = 60 mm long.
- Triangular pyramid
A perpendicular regular triangular pyramid is given: base side a = 5 cm, height v = 8 cm, volume V = 28.8 cm³. What is its area (surface area)?
- 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.
- Cathethus and the inscribed circle
A right triangle is given one cathetus long 14 cm and the radius of the inscribed circle of 5 cm. Calculate the area of this right triangle.
- ISO trapezoid v2
The bases of the isosceles trapezoid are measured 20 cm and 4 cm, and their perimeter is 55 cm. What is the area of a trapezoid?
- Cone and the ratio
The rotational cone has a height of 43 cm, and the ratio of the base surface to the lateral surface is 5: 7. Calculate the surface of the base and the lateral surface.
- RT 11
Calculate the area of the right triangle if its perimeter is p = 45 m and one cathetus is 20 m long.
- Liters in cylinder
Determine the height at which level 18 liters of water in a cylindrical container having a bottom diameter 24 cm.
- Rhombus diagonal
The area of a rhombus is 790. One diagonal measures 45. Find the length of the second diagonal.
- Flowerbed 2
Around the square flower bed in a park is a sidewalk about 2 m wide. The area of this sidewalk is 243 m². What is the area of the flowerbed?
- 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.
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