# Length - 9th grade (14y) - math problems

#### Number of problems found: 659

• Transforming cuboid
Cuboid with dimensions 6 cm, 10, and 11 cm is converted into a cube with the same volume. What is its edge length?
• Chord
In a circle with radius r=60 cm is chord 4× longer than its distance from the center. What is the length of the chord?
• Gold wire
From one gram of gold was pulled wire 2.1 km length. What is its diameter if the density of Au is ρ=19.5 g/cm3?
• Median
In the right triangle are sides a=96 dm b=31 dm. Calculate the length of the medians tc to the hypotenuse.
• V-belt
Calculate the length of the belt on pulleys with diameters of 105 mm and 393 mm at shaft distance 697 mm.
• Track arc
Two straight tracks is in an angle 74°. They will join with circular arc with radius r=1127 m. How long will be arc connecting these lines (L)? How far is the center point of arc from track crossings (x)?
• Sphere slices
Calculate the volume and surface of a sphere if the radii of parallel cut r1=31 cm, r2=92 cm, and its distance v=25 cm.
• Cone and cube
About what percentage hase cone with base radius r larger volume than same high cube with square base with edge length r?
• Cap
Jesters hat is shaped by a rotating cone. Calculate how much paper is needed to the cap 54 cm high when the head circumference is 47 cm.
• Cable car
Cable car rises at an angle 45° and connects the upper and lower station with an altitude difference of 744 m. How long is "endless" tow rope?
• Circle
On the circle k with diameter |MN| = 61 J lies point J. Line |MJ|=22. Calculate the length of a segment JN.
• Median
The median of the triangle NOP is away from vertex P 95 cm. Calculate the length of the median, which start at P.
• Black building
Keith built building with a rectangular shape 6.5 m × 3.9 m. Calculate how much percent exceeded the limit 25 m2 for small building. Building not built in accordance with the law is called "black building". Calculate the angle that the walls were clenchi
• Right triangle
Legs of the right triangle are in the ratio a:b = 2:8. The hypotenuse has a length of 87 cm. Calculate the perimeter and area of the triangle.
• Geometric mean
Calculate the geometric mean of numbers a=15.2 and b=25.6. Determine the mean by construction where a and b are the length of the lines.
• Golden ratio
Divide line of length 14 cm into two sections that the ratio of shorter to greater is same as ratio of greater section to whole length of the line.
• The cyclist
The cyclist went from village to town. The first half of the journey went at 20 km/h. The second half of the journey, which mostly fell, went at 39 km/h. All journey took 88 minutes. Calculate the distance from the village to the town.
• Magnification of the square
If we increase the square side, increase the content of the 70 %. About what percentage was increased his sides?
• Circle and angle
What is the length of the arc of a circle with radius r = 207 mm with cental angle 5.33 rad?
• Similarity n-gon
9-gones ABCDEFGHI and A'B'C'D'E'F'G'H'I' are similar. The area of 9-gon ABCDEFGHI is S1=190 dm2 and the diagonal length GD is 32 dm. Calculate area of the 9-gon A'B'C'D'E'F'G'H'I' if G'D' = 13 dm.

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Do you want to convert length units? Length - math word problems. Examples for 9th grade.