Geometry - math word problems - page 53 of 162

Number of problems found: 3238

Triangular 8227
The teacher cast the gold in the shape of a regular triangular pyramid with a base edge length of 12 cm and a height of 8 cm. The density of gold is 19,320 kg/m³. What is the weight of the casting?
Dimensions 3985
The block of goods has dimensions of 2.5 m, 4.2 m, and a height of 180 cm. It is filled to two-thirds of the volume. How many hectoliters of water are in it? How many m² of the tank is soaked with water?
Tetrahedral prism
The height of a regular tetrahedral prism is three times greater than the length of the base edge. Calculate the length of the base edge if you know that the prism volume is 2187 cm³.
Volumes 7252
The block and the cube have the same volumes of 512 cm³, and the block has edge lengths of b = 6.4 cm and c = 10 cm. Can a cube and a block have the same edge length?
Cuboid walls
Suppose the areas of three adjacent faces of a cuboid are 8 cm², 18 cm², and 25 cm². Find the volume of the cuboid.
Identical cubes
What is the volume of a large cube composed of 27 identical small cubes with an edge length of 3 cm?
Clay balls
How many can clay balls with a radius of 1 cm be made from a ball of clay with a radius of 8 cm?
Length 20353
The given line is MN with a length of 11 cm. Change its length in the ratio: a) k = 2:1 b) k = 1:2 c) k = 17:11 d) k = 22:33
Decorations - spherical
The glass Christmas decorations have the shape of a ball with a diameter of 8 cm. In a small family business, they produce 50,000 pieces a year. The entire surface of these balls is covered with glitter. 400 g of glitter is needed to cover an area of 1 m²
Winch drum
Originally an empty winch drum with a diameter of 20 cm and a width of 30 cm on the rescue car, he started winding a rope with a thickness of 1 cm from edge to edge. The winch stopped after 80 turns. It remains to spin 3.54m of rope (without hook). How lo
Cross-section - digging
How many m³ of soil is to be excavated when digging a 120 m long ditch, the cross-section of which is an isosceles trapezoid with bases of 2.3 m and 3.3 m, if the depth of the trench is 90 cm?
Carla 2
Carla is renting a canoe. It costs $80 for 2 hours and $110 for 4 hours. What is the rate of change for this situation?
Cubes 81088
How many cubes with an edge of 1 cm fit into a cube with an edge of 1 m?
Cubes 81080
How many cubes with an edge of 1 mm fit into a cube with an edge of 1 cm?
Landscape 82339
Soňa is sitting on the train, looking out the window, and what she doesn't see is that the landscape runs backward at a constant speed of 160 km/h, and on the side track, the train is seemingly backing up at a constant speed of 40 km/h. Sonia stops and wo
Cylinder container
If the cylinder-shaped container is filled with water to a height of 5 dm, it contains 62.8 hectoliters of water. Calculate the diameter of the bottom of the container. Use the value π = 3.14.
Three cubes
Two cube-shaped boxes with edges a = 70 cm; b = 90 cm must be replaced by one cube-shaped box. What will be its edge?
Eight
Eight small Christmas balls with a radius of 1 cm have the same volume as one large Christmas ball. What has a bigger surface: eight small balls or one big ball?
Prism X
The prism with the edges of the lengths x cm, 2x cm, and 3x cm has a volume 29478 cm³. What is the area of the surface of the prism?
Calculate 78514
The block has a length of 12 cm and a width of 0.6 dm. The height is the same size as the edge of a cube whose volume is 64cm³. Calculate the volume of the cuboid in cm³.

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