Geometry - math word problems - page 151 of 165
Number of problems found: 3289
- A cube
A cube has a surface area of 64 ft². Henrietta creates a reduction of this cube using a scale factor of 0.5. What is the surface area of the reduction? - 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: 60 mm in length and width of the upper part 5 mm, the width of the lower part 8 mm - 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. - 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; Trapezoid ABCD has the following dimensions: AB base length is 8 cm, CD base length is 3 cm, BC arm length is 4 cm, and AC diag - 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 - Center-symmetric letters
Find out which we can write letters (uppercase) as center-symmetric. - Fe vs. H2O
For the same weight, which body has a greater volume: iron or water? - Two cables
On a flat plain, two columns are erected vertically upwards. One is 7 m high, and the other 4 m. Cables are stretched between the top of one column and the foot of the other column. At what height will the cables cross? Assume that the cables do not sag. - Mouse Hryzka
Mouse Nibbles found 27 identical cubes of cheese. She first put a large cube out of them and then waited for a while before the cheese cubes stuck together. Then, she will eat the middle cube from every wall of the big cube. Then she also eats the cube in - Hydraulic press
A force of 60 N acts on the smaller piston of a hydraulic press, 24 mm in diameter. What is the pressure in the liquid below the piston? How much compressive force is produced on the larger piston with a diameter of 420 mm? - Cube diagonals
A cube has an edge length of 5 cm. Draw its different diagonals. - 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 - Ladder
A 4 m long ladder touches the cube 1mx1 m at the wall. How high reach on the wall? - Line ratio division
Draw the line AB = 14 cm and divide it by the reduction angle in the ratio of 2:9. - Square point distance
I was given a square ABCD 4.2 cm. Find the set of all points that have a distance less than or equal to 2 cm from one of its vertices and lie inside this square. Indicate how much of the square this area occupies as a percentage. - Map scale determination
Determine the map's scale if the 1.6 km, 2.4 km, and 2.7 km triangle-shaped forests are drawn on the map as a triangle with sides of 32 mm, 48 mm, and 54 mm. - Rectangle
In a rectangle with sides 8 and 9, a diagonal is drawn. What is the probability that a randomly selected point inside the rectangle is closer to the diagonal than to any side of the rectangle? - Copper wire meters
How many meters of copper wire with a diameter of d=3 mm will be produced from 60 kg of copper scrap if the specific gravity of copper is p=9 g/cm³? - Iceberg
What is the surface area of a 50 cm iceberg (in the shape of a cuboid) that can carry a man with luggage with a total weight of 120 kg? - Position vector of a point mass
The position vector of a point mass moving in a plane can be expressed in the established reference frame by the relation: r(t) = (6t²+ 4t ; 3t + 1) where t is time in seconds and the vector coordinates are in meters. Calculate: a) What is the position of
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