Square (second power, quadratic) + expression of a variable from the formula - practice problems - page 41 of 42
Number of problems found: 837
- Rhombus base
Calculate the volume and surface area of prisms whose base is a rhombus with diagonals u1 = 12 cm and u2 = 15 cm. Prism height is twice the base edge length. - 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 is possible - Surface area
The volume of a cone is 1000 cm³, and the area of the axis cut is 100 cm². Calculate the surface area of the cone.
- Perimeter and legs
Determine the perimeter of a right triangle if the length of one leg is 75% 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 the cylinder jacket is 24 dm². - Rhombus 2
Calculate the rhombus area with a height v=48 mm and shorter diagonal u = 60 mm long. - 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 trapezoid v2
Bases of Isosceles trapezoid measured 20 cm and 4 cm, and its perimeter is 55 cm. What is the area of a trapezoid?
- 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. - The circle arc
Calculate the span of the arc, which is part of a circle with diameter d = 11 m and its height is 5 m.
- Tereza
The cube has an area of base 144 mm². Calculate the edge length, volume, and area of its surface. - Cylinder
The cylinder surface is 922 dm². Its height is equal to the radius of the base. Calculate the height of this cylinder. - R Trapezium
Rectangular trapezium has bases 21 and 10 and area 92 cm². What is its perimeter? - IS trapezoid
Calculate the length of diagonal u and height v of isosceles trapezoid ABCD, whose bases have lengths a = |AB| = 37 cm, c = |CD| = 29 cm and legs b = d = |BC| = |AD| = 28 cm. - Rectangular cuboid
The rectangular cuboid has a surface area 5447 cm², and its dimensions are in the ratio 2:4:1. Find the volume of this rectangular cuboid.
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