Square practice problems - page 126 of 153
Number of problems found: 3052
- Block volume calculation
The surface of the block is 558 cm², and its dimensions are in the ratio of 5:3:2. Calculate the volume. - Rectangular trapezium
Calculate the perimeter of a rectangular trapezium when its area is 576 cm² and side a (base) is 30 cm, height 24 cm. - The ditch
Ditch with a cross-section of an isosceles trapezoid with bases 2 m and 6 m deep 1.5 m. How long is the slope of the ditch? - Length IT
Find the length (circumference) of an isosceles trapezoid in which the length of the bases a,c, and the height h is given: a = 8 cm c = 2 cm h = 4 cm. - Construction - Euclid
Using Euclid's theorems, construct a triangle ABC with height on side c and size v = √8 cm. Choose the length of the hypotenuse c correctly. Write the construction procedure. - Triangle circle calculation
The following elements are known in the right triangle ABC: a = 10 cm, height to side c h = 9.23 cm. Calculate o, R (radius of the inscribed circle), r (radius of the inscribed circle). - Parametric equation
Point A [6; -2]. Point B = [-3; 1] Write the parametric equation of the line BA so that t belongs to the closed interval < 0;3 > - Midpoint of segment
Point A has coordinates [4; -11], and the midpoint of segment AB is the point [17; -7]. What are the coordinates of point B? - Rhombus diagonal perimeter
How do I find the diagonals of a rhombus if its perimeter is 80 dm and one diagonal is 2x larger than the other? - Diagonals of rhombus
Find the length of the diagonal AC of the rhombus ABCD if its perimeter P = 112 dm and the second diagonal BD has a length of 36 dm. - Diamond diagonals
Calculate the diamonds' diagonal lengths if the diamond area is 156 cm² and the side length is 13 cm. - Estate
An estate has the shape of a right-angled trapezoid with parallel sides of 35 m and 65 m, and a perpendicular leg of 34 m. Calculate the total length of its fence. - Truncated cone 3
The surface of the truncated rotating cone S = 7697 meters square, the substructure diameter is 56 m and 42 m, and the height of the tang is found. - Sphere
Intersect between the plane and a sphere is a circle with a radius of 60 mm. The cone, whose base is this circle and whose apex is at the center of the sphere, has a height of 34 mm. Calculate the surface area and volume of a sphere. - Cutting the prism
A prism with a square base with an area of 1 cm² and a height of 3 cm was cut from a cube with an edge length of 3 cm. What is the body's surface formed from the cube after cutting the prism? - Surface and volume od cuboid
The square base of the cuboid has an area of Sp = 36 cm2, and its height is 80 mm. Determine its surface area and volume. - Present
A gift box has the shape of a cuboid with dimensions 8 × 8 × 3 cm. Miloslav wants to wrap it using square sheets of paper with sides of 18 cm. How much paper is left over? - The trapezium
The trapezium is formed by cutting the top of the right-angled isosceles triangle. The trapezium base is 10 cm, and the top is 5 cm. Find the area of the trapezium. - Trapezoid perimeter
The bases of the isosceles trapezoid measure 110 m and 50 m. The distance between the bases is 40 m. Calculate its circumference. - Prove
Prove that k1 and k2 are the equations of two circles. Find the equation of the line that passes through the centers of these circles. k1: x²+y²+2x+4y+1=0 k2: x²+y²-8x+6y+9=0
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