Area + angle - practice problems - page 10 of 15
Number of problems found: 293
- Trapezoid - RR
Find the area of the right-angled trapezoid ABCD with the right angle at the A vertex; a = 3 dm b = 5 dm c = 6 dm d = 4 dm - Parallelogram - area
Calculate the area of the parallelogram if the sides are a = 80, b = 60 long, and the size of the diagonal angle is 60°. - Hexagon cut pyramid
Calculate the volume of a regular 6-sided cut pyramid if the bottom edge is 30 cm, the top edge is 12 cm, and the side edge length is 41 cm. - Angle of deviation
The surface of the rotating cone is 30 cm² (with a circle base), and its surface area is 20 cm². Calculate the deviation of this cone's side from the base's plane. - Children pool
The bottom of the children's pool is a regular hexagon with a = 60 cm side. The distance between opposing sides is 104 cm, and the height of the pool is 45 cm. A) How many liters of water can fit into the pool? B) The pool is made of a double layer of pla - Hexagonal prism
The prism's base is a regular hexagon consisting of six triangles with side a = 12 cm and height va = 10.4 cm. The prism height is 5 cm. Find the volume and surface of the prism. - Parallelogram
We know about parallelogram ABCD: length |AB| = 76 cm, |BC| = 44 cm, and angle ∢BAD = 30°. Find the area of the parallelogram. - Pyramid planting
The flower bed has the shape of a regular 4-sided pyramid. The edge of the lower plinth is 10 m, and the upper plinth is 9 m. The deviation of the side wall from the base is 45 degrees. How many plantings should be purchased if 90 are needed to plant 1 sq - 30-gon
The radius of the inscribed circle is 15 cm at a regular 30-gon. Find the side length a, circle radius R, circumference, and area. - House volume
V = 35 m α = 55° β = 15° ----------------- X =? Calculate: V- barrack volume =? S- barrack area =? - Center of gravity
In the isosceles triangle ABC the lengths of AB and the height to AB is the ratio of 10:12. The arm has a length of 26 cm. If the center of gravity is T, find the area of the triangle ABT. - Circular segment
Calculate the area S of the circular segment and the length of the circular arc l. The height of the circular segment is 2 cm, and the angle α = 60°. Help formula: S = 1/2 r². (Β-sinβ) - Isosceles right triangle
The area of an isosceles right triangle is 18 dm². Calculate the length of its base. - Cone cutout The cone shell with a base radius of 20 cm and a height of 50 cm unfolds into a circular cutout. How big is the center angle of this cutout?
- Rectangular trapezoid
The rectangular trapezoid ABCD is: /AB/ = /BC/ = /AC/. The length of the median is 6 cm. Calculate the perimeter and area of a trapezoid. - Four sided prism
Calculate the volume and surface area of a regular quadrilateral prism whose height is 28.6 cm, and the diagonal body forms a 50-degree angle with the base plane. - Triangle ABC v2
The area of the triangle is 12 cm². Angle ACB = 30º , AC = (x + 2) cm, BC = x cm. Calculate the value of x. - Pentagon
Calculate the length of a regular pentagon's side, circumference, and area, inscribed in a circle with a radius r = 6 cm. - Octahedron - sum
On each wall of a regular octahedron is written one of the numbers 1, 2, 3, 4, 5, 6, 7, and 8, wherein on different sides are different numbers. John makes the sum of the numbers written on three adjacent walls for each wall. Thus got eight sums, which al - Glass
How many glasses are needed to produce glass with a base of a regular 5-gon if one base triangle in the base is 4.2 square cm and the height is 10 cm?
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