Geometry - math word problems - page 144 of 162
Number of problems found: 3227
- Unknown metal
The prism made of unknown metal has dimensions of 3 cm by 3 cm by 5 cm and a weight of 121 g. What metal is it? Write its chemical symbol. - Hip-roof
The roof consists of two isosceles trapezoids and two isosceles triangles. The roof plan is a rectangle with dimensions of 8m and 14m, and the roof ridge is 8m long. The height of the trapezoid is 5m, the height of the triangles is 4.2m. How many tiles ar - Area and percents
Find what percentage is a smaller cube surface when the wall's surface area decreases by 25%. - Air mass
What is the weight of the air in a classroom with dimensions 10 m × 3 m × 3 m? The air density is 1.293 kg/m³. - Two cuboids
The cuboid has dimensions of 2m 3m 4m We increase the length of all edges by 50 cm. 1. Calculate in % how much the surface area of the cuboid increases compared to the surface area of the original cuboid - round the result to whole percent 2. Calculat - Dimensions - crate
A wooden crate with dimensions d=3m, e=4m, and f=3m was placed in a transport container with dimensions a=10 m, b=4m, and c=3m. What is the maximum length of a straight, rigid rod of negligible diameter that can still be placed in the container in this si - Metal balls
Four metal balls with a diameter of 5 cm are placed in a measuring cylinder with an inner diameter of 10 cm. What is the smallest water volume to be poured into the cylinder so that all balls are below the water level?
- Volume and surface
Calculate the volume and surface area of the cylinder when the cylinder height and base diameter are in a ratio of 3:4, and the area of Lateral Surface Area (LSA) is 24 dm². - Points in plane
The plane is given 12 points, 5 of which are located on a straight line. How many different lines could be drawn from these points? - Construct 22
Construct a rhombus ABCD if the diagonals are f=7cm, e=5 cm. - Square 80371
Draw a square EFIJ if EI is equal to 7cm. - Earth rotation
How fast is the place on the Earth's equator moving if the Earth's radius is 6378 km? - Calculate 4842
The area of the rotating cylinder shell is half the area of its surface. Calculate the surface of the cylinder if you know that the diagonal of the axial section is 5 cm. - Determined 3570
There are 12 points in space, with no three lying on a straight line. How many different planes are determined by these points? - Logs
The trunk diameter is 52 cm. Is it possible to inscribe a square prism with a side 27 cm?
- Similarity 30821
There is a given square ABCD with a = 5.3cm. If the similarity ratio k = 3 cm, determine the side size of a similar square. Then, calculate the area and perimeter of the magnified square. - Ribbon on the cube
A cubical gift box is tied with a piece of ribbon. If the total length of the free ends and the bow is 18 inches, what is the length of the ribbon used? (Each side of the cube is 6 inches). - Cube in sphere
The cube is inscribed in a sphere with a radius r = 6 cm. What percentage is the cube's volume from the ball's volume? - Calculate
Calculate the resulting speed of both vehicles after the accident of a car with a mass of m1 = 1.5 tons traveling at a speed of 100 km/h and a truck with a mass of m2 = 40 tons traveling at a speed of 90 km/h, if it is a head-on acci - Tetrahedron 83144
A container shaped like a rotating cylinder with a base radius of 5 cm is filled with water. If a regular tetrahedron with an edge of 7 cm is immersed in it, how much will the water level in the container rise?
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