Diagonal + quadratic equation - math problems

Number of problems found: 26

  • Block or cuboid
    cuboid The wall diagonals of the block have sizes of √29cm, √34cm, √13cm. Calculate the surface and volume of the block.
  • Faces diagonals
    cuboid If a cuboid's diagonals are x, y, and z (wall diagonals or three faces), then find the cuboid volume. Solve for x=1.3, y=1, z=1.2
  • Rectangle
    rectangle There is a rectangle with a length of 12 cm and a diagonal 8 cm longer than the width. Calculate the area of a rectangle.
  • Diamond diagonals
    kosodlznik Find the diamond diagonal's lengths if the area is 156 cm2 and side is 13 cm long.
  • Diagonals of a rhombus 2
    rhombus3 One diagonal of a rhombus is greater than other by 4 cm . If the area of the rhombus is 96 cm2, find the side of the rhombus.
  • Diagonals
    diagonals What x-gon has 54 diagonals?
  • Solid cuboid
    cuboid A solid cuboid has a volume of 40 cm3. The cuboid has a total surface area of 100 cm squared. One edge of the cuboid has a length of 2 cm. Find the length of a diagonal of the cuboid. Give your answer correct to 3 sig. Fig.
  • Diamond diagonals
    kosostvorec Calculate the diamonds' diagonals lengths if the diamond area is 156 cm square, and the side length is 13 cm.
  • Surface area of the top
    cylinder A cylinder is three times as high as it is wide. The length of the cylinder’s diagonal is 20 cm. Find the surface area of the top of the cylinder.
  • Diagonal 20
    plaza Diagonal pathway for the rectangular town plaza whose length is 20 m longer than the width. if the pathway is 20 m shorter than twice the width. How long should the pathway be?
  • Diamond diagonals
    kosostvorec Calculate the diamond's diagonal lengths if its content is 156 cm2 and the side length is 13 cm.
  • Body diagonal
    kvader11 The cuboid has a volume of 32 cm3. Its side surface area is double as one of the square bases. What is the length of the body diagonal?
  • Rectangle diagonals
    rectangle_diagonals It is given a rectangle with an area of 24 cm2 a circumference of 20 cm. The length of one side is 2 cm larger than the length of the second side. Calculate the length of the diagonal. Length and width are yet expressed in natural numbers.
  • Diagonal of the rectangle
    rectangle Calculate the rectangle's diagonal, which area is 54 centimeters square, and the circuit is equal to 30 cm.
  • Polygon 42
    12gon Which polygon has 42 more diagonals than sides?
  • Sphere and cone
    cone_in_sphere Within the sphere of radius G = 33 cm inscribe the cone with the largest volume. What is that volume, and what are the dimensions of the cone?
  • Rhombus
    rhombus2 The rhombus with area 137 has one diagonal that is longer by 5 than the second one. Calculate the length of the diagonals and rhombus sides.
  • Rhombus and inscribed circle
    rhombus It is given a rhombus with side a = 6 cm and the radius of the inscribed circle r = 2 cm. Calculate the length of its two diagonals.
  • Trapezoid MO
    right_trapezium The rectangular trapezoid ABCD with the right angle at point B, |AC| = 12, |CD| = 8, diagonals are perpendicular to each other. Calculate the perimeter and area of ​​the trapezoid.
  • Cuboid
    cuboid Cuboid with edge a=6 cm and space diagonal u=31 cm has volume V=900 cm3. Calculate the length of the other edges.

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