Solid geometry, stereometry - page 33 of 121
Number of problems found: 2404
- Cylindrical 16713
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 - Assembling 63964
Little Pavel 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? - Wall thickness
The hollow metal ball has an outside diameter of 40 cm. Determine the wall thickness if the weight is 25 kg and the metal density is 8.45 g/cm³. - Cuboid edges in ratio
Cuboid edge lengths are in ratio 2:4:6. Calculate their lengths if you know that the cuboid volume is 24576 cm³. - For thinkings
The glass cube dives into the aquarium, which has a length of 25 cm, a width of 20 cm, and a height of 30 cm. Aquarium water rises by 2 cm. a) What is the volume of a cube? b) How many centimeters measure its edge? - Centimeter 23781
Calculate the diameter of a cylinder 7.5 dm high with a volume of 0.6 hl. Express the result to the nearest centimeter. - Calculate 26051
The base of the prism is a square with a side of 10 cm. Its height is 20 cm. Calculate the height of a pyramid with a square base of 10 cm, which has four times the prism's volume. - 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? - Two rectangular boxes
Two rectangular boxes with dimensions of 5 cm, 8 cm, 10 cm, and second of 5 cm, 12 cm, and 1 dm will be replaced by a single cube box of the same cubic volume. Calculate its surface. - Measuring 67734
The candle is shaped like a block measuring 3 cm, 4 cm, and 5 cm. If we gradually enlarge one, two, and all three edges twice, how many times is more wax used to make a candle? - Cube surface and volume
The surface of the cube is 500 cm². How much cm³ will its volume be? - Calculate 5624
The cube has a surface area of 110.6 cm². Calculate the length of its edge. - Sphere volume formula
If V=4/3 π r³, find the value of V when r = 7, the value of r when V=113 1/7 - Thousand balls
We must create a thousand balls from a sphere with a diameter of 1 m. What will be their radius? - Millimeter 6629
The ice cube weighs 24g. Determine the size of its edge to the nearest millimeter. If the ice density is 917kg/m3 - Tank diameter
A cylindrical tank has a volume of 60 hectoliters and is 2.5 meters deep. Calculate the tank diameter. - Calculate 38073
1. Calculate the volume of a cube whose edge is 3.6 dm long. 2. Calculate the edge's size if you know its surface S = 2166 mm². - Truncated cone and sphere
A sphere is inscribed in a truncated cone with base diameters D1=10 cm and D2=20 cm, touching both bases and the surface. What is its diameter? - 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?
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