Square practice problems - page 146 of 153
Number of problems found: 3053
- Pyramid Volume Wall Height
Calculate the volume of a regular quadrilateral pyramid, whose wall height is w = 12 cm and the edge of the base is a = 5 cm. - 4s pyramid
A regular tetrahedral pyramid has a base edge a=8 and a collateral edge length b=20. What is its height? - The tangent line
Find the tangent line of the ellipse 9x² + 16y² = 144 with slope k = -1. - Quadrilateral pyramid
A regular quadrilateral pyramid has a volume of 24 dm³ and a base edge a = 4 dm. Calculate: a/height of the pyramid b/sidewall height c/surface of the pyramid - Z8–I–5 MO 2019
For eight different points as shown in the figure: points C, D, and E lie on a line parallel to line AB; F is the midpoint of segment AD; G is the midpoint of segment AC; and H is the intersection of lines AC and BE. The area of triangle BCG is 12 cm² and - Triangle construction sides
Construct a right triangle ABC with the hypotenuse AB: a) | AB | = 72 mm, | BC | = 51 mm b) | AB | = 58 mm, | AC | = 42 mm - Hexagon, hexa S, V
What is the surface area and volume of a regular hexagonal prism with a base edge of 12 cm and a height equal to the diameter of the circle circumscribed about the base? - Rhombus - ratio
In a rhombus, the ratio of a side to the height drawn to that side is 4:1, and its area is 49 cm². Calculate the length of the side and the height drawn to that side. - Rhombus Parquet Room Area
The parquet floors in the room have the shape of a rhombus with a side of 2.5 dm long and a corresponding height of 0.8 dm long. How many square meters does a room have if its floor is made of 600 parquets? - Regular quadrilateral pyramid
What is the volume of a regular quadrilateral pyramid if the edge of the base is 8 cm long and the height of the side wall is 5 cm? - Cone
A circular cone of height 14 cm and volume 4396 cm³ is cut at one third of its height (measured from the base) by a plane parallel to the base. Calculate the radius and circumference of the circular cross-section. - Concentric circles and chord
In a circle with a diameter d = 10 cm, a chord with a length of 6 cm is constructed. What radius has the concentric circle while touching this chord? - Circle length
The 16 cm long string is 6 cm from the circle's center. Calculate the length of the circle. - Chord AB
What is the chord AB's length if its distance from the center S of the circle k(S, 50 cm) is 43 cm? - Equation of the circle
Find the equation of the circle inscribed in the rhombus ABCD where A[1, -2], B[8, -3], and C[9, 4]. - Chord distance
Determine the distance of two parallel chords of lengths of 7 cm and 11 cm in a circle with a radius of 7 cm. - Chord
In a circle with radius r = 60 cm, there is a chord that is 4 times longer than its distance from the centre. What is the length of the chord? - Rhombus Parquet Floor Area The parquet floors in the room have the shape of a rhombus with a side of 2.3 dm long and a corresponding height of 0.9 dm long. How many square meters does the room have if its floor comprises 580 parquets?
- Parallelogram ABCD
We have the parallelogram ABCD, where AB is 6.2 cm; BC is 5.4 cm and AC is 4.8 cm. Calculate the height on the AB side and the angle DAB. - Trapezoid 83
Trapezoid ABCD is composed of five triangles. Points E and G divide segment AB in the ratio 2:4:3 (in this order) into three segments. Point F is the midpoint of segment AD. Triangle AEF is isosceles and right-angled. Triangles GBC and CDG are right-angle
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