Area - practice for 13 year olds - page 61 of 63
Number of problems found: 1243
- Tinsmith
Tinsmith constructs chimney pipe 145 cm long and 15 cm wide. A pipe is made from the plate overlap at the joint and needs to add $x cm width of the plate. What dimensions of the sheet will have to be prepared for the construction? - Cubes
Surfaces of cubes, one of which has an edge of 48 cm shorter than the other, differ by 36288 dm². Determine the length of the edges of these cubes. - Rail turn
The curve radius on the railway line is 532 m. The length of the rail track on it is 818 m. How many degrees is the angle ASB if A and B are boundary points and S is the center of the arc curve? - Triangle
Calculate the area of the right triangle ΔABC if one leg is long 14 and its opposite angle is 59°.
- Wheat
The rectangle-shaped field with dimensions 1268 m and 745 m harvested last year was 4959 q wheat. (1 q = 1 quintal = 100 kg). During the year, it was necessary to fix the pipe and therefore did kick wide 4 m parallel to the side of the field 745 m, were n - Rectangle
In a rectangle with sides, 8 and 9 mark the diagonal. What is the probability that a randomly selected point within the rectangle is closer to the diagonal than any side of the rectangle? - Map
Forest has an area of 36 ha. How much area is occupied by forest on the map at scale 1:500? - Pipe
How long is the pipe with an outside diameter of 0.87 m if his coloring consumed 10 kg of color? 1 kg of color coverage is 6 m². - Arc and segment
Calculate the length of circular arc l, area of the circular arc S1 and area of circular segment S2. The circle's radius is 11, and the corresponding angle is (2)/(12) π.
- Square
Calculate the area of the square with diagonal 64 cm. - Sphere
The sphere's surface is 12100 cm², and the weight is 136 kg. What is its density? - Rectangular field
One dimension of the rectangular field is 56 m greater than the second dimension. If each side of the rectangle increases by 10 m increases, the surface field is 1480 m². Find dimensions of the field. - Diagonals of the rhombus
Calculate the height of the rhombus whose diagonals are 18 cm and 6 cm. - Rotating cone II
Calculate the area of the surface of a rotating cone with base radius r=15 cm and height h=13 cm.
- Kitchen
The kitchen roller has a diameter of 70 mm and a width of 359 mm. How many square millimeters roll on one turn? - Rectangles
How many rectangles with area 3152 cm² whose sides are natural numbers? - Triangle
Calculate the triangle's heights ABC if the triangle's sides are a=82, b=44, and c=53. - Diamond
Find the side of the diamond if its area is S = 490 cm² and one diagonal u2 = 39 cm. - Cap
A rotating cone shapes a jesters hat. Calculate how much paper is needed for the cap 54 cm high when the head circumference is 47 cm.
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