Length + square - practice problems - page 36 of 37
Number of problems found: 727
- Rectangle SS
The perimeter of a rectangle is 268 cm, and its diagonal is 99.3 cm. Determine the dimensions of the rectangle. - Sphere slices
Calculate the volume and surface of a sphere if the radii of a parallel cut r1=32 cm, r2=47 cm, and its distance v=21 cm. - Equilateral triangle
Calculate the side of an equilateral triangle if its area is 886 mm². - Cone and cube
About what percentage has cone with base radius r larger volume than a same high cube with square base with edge length r?
- Circle
The circle k with diameter |MN| = 61. Point J lies on the circle k. Line |MJ|=22. Calculate the length of a segment JN. - 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 a small building. A building not built by the law is called a "black building". Calculate the angle that the walls were clenching each oth - Right triangle
The 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. - Magnification of the square
If we increase the square side, increase the area of the 70 %. About what percentage was increased on its side?
- 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 the area of the 9-gon A'B'C'D'E'F'G'H'I' if G'D' = 13 dm. - Glass mosaic
How many dm² glasses are necessary to produce 97 slides of a regular 6-gon, whose side has a length 21 cm? Assume that cutting glass waste is 10%. - Rectangles
Calculate how many squares/rectangles of size 4×3 cm we can cut from a sheet of paper of 36 cm×32 cm. - Floating barrel
The barrel (cylinder shape) floats on water, the top of the barrel is 8 dm above water, and the width of surfaced barrel part is 23 dm. Barrel length is 24 dm. Calculate the volume of the barrel. - Circle arc
The circle segment has a circumference of 135.26 dm and 2096.58 dm² area. Calculate the radius of the circle and the size of the central angle.
- Present
The gift box has a rectangular shape with dimensions of 8×8×3 cm. Miloslav wants to cover it with square paper with sides of 18 cm. How much paper left him? - Aquarium
An aquarium is a rectangular box with a square base containing 76 liters of water. The length of the base edge is 42 cm. To what height does the water level rise? - Cube wall
The surface of the first cube wall is 64 m². The second cube area is 40% of the surface of the first cube. Find the length of the edge of the second cube (x). - Circle chord
What is the length x of the chord circle of diameter 115 m if the distance from the center circle is 11 m? - Garden plot
Calculate how many meters of the fence need to fence the square garden with a length and width of 12 meters.
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