The log has a diameter 30 cm. What's largest beam with a rectangular cross-section can carve from it?

Correct answer:

S =  450 cm2

Step-by-step explanation:

D=30 cm D2=a2+a2 D=2a S=a2=(D/2)2=302/2=450 cm2

Did you find an error or inaccuracy? Feel free to write us. Thank you!


Tips to related online calculators
Pythagorean theorem is the base for the right triangle calculator.

You need to know the following knowledge to solve this word math problem:

We encourage you to watch this tutorial video on this math problem: video1   video2

Related math problems and questions:

  • Tree trunk
    tram From the tree trunk, the diameter at the narrower end is 28 cm, a beam of square cross-section is to be made. Calculate the longest side of the largest possible square cross-section.
  • Pine wood
    dre-borovica From a trunk of pine 6m long and 35 cm in diameter with a carved beam with a cross-section in the shape of a square so that the square had the greatest content area. Calculate the length of the sides of a square. Calculate the volume in cubic meters of lu
  • Logs
    gulatina The trunk diameter is 52 cm. Is it possible to inscribe a square prism with side 36 cm?
  • Tree trunk
    circle_and_square What is the smallest diameter of a tree trunk that we can cut a square-section square with a side length of 20 cm?
  • Again saw
    rectangle_in_circle From the trunk of the tree we have to a sculpture beam with rectangular cross-section with dimensions 146 mm and 128 mm. What is the trunk smallest diameter?
  • A square
    rhombus3 A square with a length of diagonals 12cm give: a) Calculate the area of a square b) rhombus with the same area as the square, has one diagonal with a length of 16 cm. Calculate the length of the other diagonal.
  • Silver medal
    circle To circular silver medal with a diameter of 10 cm is an inscribed gold cross, which consists of five equal squares. What is the content area of the silver part?
  • Cutting square
    circle22 From a square with a side of 30 cm, we cut the circle with the highest possible diameter. How many percents of the square content is this circle?
  • Square
    ctverec_mo Calculate the perimeter and the area of square with a diagonal length 30 cm.
  • 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.
  • Body diagonal
    space_diagonal Calculate the length of the body diagonal of a block with dimensions: a = 20 cm, b = 30 cm, c = 15 cm.
  • Diagonal
    trapezium_right The rectangular ABCD trapeze, whose AD arm is perpendicular to the AB and CD bases, has an area of 15 cm square. Bases have lengths AB = 6cm, CD = 4cm. Calculate the length of the AC diagonal.
  • Rectangle 35
    rectangles Find the area of a rectangle when the diagonal is equal to 30 cms and the width is double the length.
  • RT - inscribed circle
    rt_incircle In a rectangular triangle has sides lengths> a = 30cm, b = 12.5cm. The right angle is at the vertex C. Calculate the radius of the inscribed circle.
  • Wiring
    install_pipes Conduit has a cross section 482 mm. Maybe put it into 6 conductors with a cross section S2 $mm2?
  • Semicircle
    semicircle To a semicircle with diameter 10 cm inscribe square. What is the length of square sides?
  • Rhombus
    rhombus Calculate the perimeter and area of ​​a rhombus whose diagonals are 39 cm and 51 cm long.