Geometry - math word problems - page 48 of 165
Number of problems found: 3289
- Cylinder radius hundredfold
The length of the radius of the rotating cylinder base is 5 m. You calculate the radius of an equally high cylinder, the volume of which is a hundredfold. - Pyramid volume change
How does the volume of a pyramid change if we triple its height? - Costume
Denisa is preparing for a goldsmith's costume carnival. During the preparations, she thought she would let her hair wipe instead - she would apply a 5 μm thick layer of gold to each hair. How much gold would Denisa need? Assume that all hundred thousand D - Line length change
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 - Cube building blocks
Little Paul was assembling building blocks (a cube is shaped like a cube). He wanted to build a big cube. However, he had 75 dice left, so he increased the edge by one die. Then he was missing 16 dice. How many cubes did he have in the kit? - Volume per time
The length of the cube-shaped tank edge is 4 m. A pump has a capacity of 200 l per minute. How long does it take for a pump to fill a cube-shaped tank up to 75% of its height? - Steel ball radius
Twenty identical steel balls were dropped into a cylindrical container of water standing on a horizontal surface to submerge them below the surface. At the same time, the water level rose by 4 mm. Determine the radius of one sphere if the diameter of the - Diagonals at right angle
In the trapezoid ABCD, this is given: AB=12 cm CD=4 cm And diagonals crossed under a right angle. What is the area of this trapezoid ABCD? - Cuboid container We have a block-shaped container measuring 20 cm x 30 cm x 45 cm. How many 5 cm cubes will fit in it?
- Pot volume comparison
Calculate the volume of the two pots and compare them. The first pot is 40 cm high, and the diameter of its bottom is 24 cm. The second pot is 24 cm tall, and the diameter of its base is 40 cm. - Cylindrical tank
A tank has the shape of a cylinder with a diameter of 1.6 m and a length of 4.5 m. At least how many cylindrical barrels with a diameter of 0.8 m and a height of 1.5 m are needed to empty a tank? - Garden
A Garden with an area of 800 square meters rained 3 mm of water. How many 10-liter cans of water are needed for the same irrigation? - Cube containers
Two containers shaped as cubes with edges of 0.7 m and 0.9 m replace a single cube so that it has the same volume as the original two together. What is the length of the edges of the new cube? - Cuboids in cube
How many can cuboids with dimensions of 6 cm, 8 cm, and 12 cm fit into a cube with a side of 96 centimeters? - Soil pit
Workers dug a pit cube with an edge of 2.5 meters. How many cars shall remove soil if the car suddenly takes 4 m³ of soil? - Sphere - diameter
What is the diameter of a 1 m³ sphere? Write in decimetres - Small Cubes Large Cube
The largest number of small cubes with an edge length of 2 cm will fit in a large cube with a volume of 216 cm³. - Map distance
On a tourist map with a scale of 1:20 000, the distance between Starý Smokovec and Nový Smokovec is 24 cm. What is the actual distance? - Small and big box
Boxes with dimensions of 6 cm, 10 cm, and 15 cm should fit into a cube-shaped box. What are the smallest dimensions a box can have? How many boxes of the given dimensions can fit in it? - Spherical segment
The spherical segment with height h=2 has a volume of V=225. Calculate the radius of the sphere which is cut in this segment.
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