Geometry - math word problems - page 149 of 163
Number of problems found: 3251
- Center of gravity
The mass points are distributed in space as specified by coordinates and weight. Find the center of gravity of the mass points system: A1 [-17; 10; 9] m1 = 23 kg A2 [-16; -19; 0] m2 = 31 kg A3 [4; -14 - Tower
Charles built a tower of cubes with an edge 2 cm long. In the lowest layer, there were six cubes (in one row) in six rows. In each subsequent layer, always one cube and one row less. What volume in cm³ did the whole tower have? - Perfect cubes
Suppose a number is chosen at random from the set (0,1,2,3,. .. ,202). What is the probability that the number is a perfect cube? - Center-symmetric letters
Find out which we can write letters (uppercase) as center-symmetric. - Intersections
Find the intersections of the function plot with coordinate axes: f (x): y = x + 3/5 - Cube changes
How much percent will the surface and volume of the cube decrease if the diagonal decreases by 10%? b) if the diagonal increases by 10%? - Spherical cap
From the sphere with a radius of 26 was a truncated spherical cap. Its height is 2. What part of the volume is a spherical cap from the whole sphere? - Wood lumber
Wooden lumber is 4 m long and has a cross-section square with a side of 15 cm. Calculate: a) the volume of lumber b) the weight of the lumber if 1 m³ weighs 790 kg - Prism Box Force Weight
We turn the prism-shaped box with a height of 1 m and a square base with an edge of 0.6 m under a force of 350 N, which acts horizontally compared to the upper edge. What is the weight of the box? - Submarine pressure calculation
The submarine is at a depth of 50 m below the concave surface of the sea. Find the hydrostatic compressive strength of seawater on a metal cover with an area of 0.6 m². - Cork weight
The cork has a diameter of 20 mm and is 38 mm high. How many plugs will weigh 1 kg/cork density = 0.3 g / cm cubic /. - Trapezoid MO-5-Z8
ABCD is a trapezoid in that lime segment CE is divided into a triangle and parallelogram. Point F is the midpoint of CE, the DF line passes through the center of the segment BE, and the area of the triangle CDE is 3 cm². Determine the area of the trapezoi - Convex lens
The convex lens consists of two spherical segments (dimensions given in mm). Calculate its weight if the density of the glass is 2.5 g/cm³. Dimensions: 60mm in length and width of the upper part 5mm, the width of the lower part 8mm - CoG center
Find the position of the center of gravity of a system of four mass points having masses, m1, m2 = 2 m1, m3 = 3 m1, and m4 = 4 m1, if they lie at the vertices of an isosceles tetrahedron. (in all case - Fe vs. H2O
The volume of what the body of the same weight is greater: iron or water? - Point distance minimization
The line p and the two inner points of one of the half-planes determined by the line p are given. Find point X on the line p so that the sum of its distances from points A and B is the smallest. - Cuboid edges
The lengths of the cuboid edges are in the ratio 2:3:4. Find their length if you know that the surface of the cuboid is 468 m². - Cube diagonals
Cube edge length 5cm. Draw different diagonals. - Trapezoidal prism
Calculate the surface of the quadrilateral prism ABCDA'B'C'D' with the trapezoidal base ABCD. The height of the prism is 12 cm; ABCD trapezoidal data: AB base length is 8 cm, CD base length is 3 cm, BC arm length is 4 cm, and AC diagonal length is 7 cm. L - 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 line AD, G is the midpoint of line AC, and H is the intersection of lines AC and BE. The area of triangle BCG is 12 cm² and the
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