Square - problems

  1. Equilateral triangle
    vpisany_stvorec A square is inscribed into an equilateral triangle with a side of 10 cm. Calculate the length of the square side.
  2. The coil
    lano_1 How many ropes (the diameter 8 mm) fit on the coil (threads are wrapped close together) The coil has dimension: the inner diameter 400mm, the outside diameter 800mm and the length of the coil is 470mm
  3. ABCD square
    s1 In the ABCD square, the X point lies on the diagonal AC. The length of the XC is three times the length of the AX segment. Point S is the center of the AB side. The length of the AB side is 1 cm. What is the length of the XS segment?
  4. Body diagonal
    diagonal_1 Calculate the length of the body diagonal of the 6cm cube.
  5. Garden
    garden_1 Area of square garden is 6/7 of triangle garden with sides 96 m, 60 m and 60 m. How many meters of fencing need to fence a square garden?
  6. Square
    square_1 Points A[1,5] and B[-4,-5] are adjacent vertices of the square ABCD. Calculate area of the square ABCD.
  7. Logs
    gulatina Trunk diameter is 79 cm. Is it possible to inscribe a square prism with side 75 cm?
  8. Tereza
    cube The cube has area of base 400 mm2. Calculate the edge length, volume and area of its surface.
  9. Square and circles
    kruznica_stvorec_1 Square with sides 89 m is circumscribed and inscribed with circles. Determine the radiuses of both circles.
  10. Square diagonal
    square_d Calculate length of the square diagonal if the perimeter is 200 cm.
  11. Two squares
    squares2 Two squares whose sides are in the ratio 4:3 have sum of its perimeters 103 cm. Calculate the sum of area this two squares.
  12. Steps
    square_diagonal_1 How many steps you save if you go square estate for diagonal (crosswise), rather than circumvent on the two sides of its perimeter with 298 steps.
  13. Z9–I–1
    ctverec_mo In all nine fields of given shape to be filled natural numbers so that: • each of the numbers 2, 4, 6 and 8 is used at least once, • four of the inner square boxes containing the products of the numbers of adjacent cells of the outer square, • in the cir
  14. Prism
    3b_hranol Right angle prism, whose base is right triangle with leg a = 3 cm and hypotenuse c = 5 cm has same volume as a cube with an edge length of 1 dm. a) Determine the height of the prism b) Calculate the surface of the prism c) What percentage of the cube'
  15. Present
    prezent Gift box has rectangular shape with dimensions of 4×9×19 cm. Todd wants to cover with square paper with sides of 27 cm. How much paper left him?
  16. Maximum area of rhombus
    rhombus Calculate the interior angles at which equilateral rhombus has maximum area.
  17. Infinity
    circles-and-squares In a square with side 21 is inscribed circle, in circle is inscribed next square, again circle and so on to infinity. Calculate the sum of area of all these squares.
  18. Octagon
    8gon We have a square with side 98 cm. We cut the corners to make his octagon. What will be the side of the octagon?
  19. Mr. Zucchini
    cuketa Mr. Zucchini had a rectangular garden whose perimeter is 28 meters. Content area of the garden filled just four square beds, whose dimensions in meters are expressed in whole numbers. Determine what size could have a garden. Find all the possibilities and
  20. Windows
    wall_w_windows Calculate the area of masonry to build wall with dimensions of 19 m × 4 m with 5 windows of size 50 cm × 50 cm.

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