Solid geometry, stereometry - page 33 of 123

Number of problems found: 2442

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?
Cylinder height surface
The volume of the cylinder is 193 cm³, and the radius of its base is 6.4 cm. Calculate the height and surface of the cylinder to 1 decimal place.
Block cube edge
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?
Cube containers
Replace the two cube-shaped containers with 0.8 dm and 0.6 dm edges with a single cube-shaped one to have the same volume as the original ones. What is the length of the edge of this cube?
Block cube edge
The block and the cube have the same volume, 216 cm³. The block has side lengths of b = 4 cm and c = 9 cm. Can they have the same side?
Funnel radius calculation
The conical funnel has a volume of 0.5 liters and a height of 7 cm. Calculate the radius of its upper edge.
Cube Edge Size Volume
The road is paved with 2500cm cubic cubes. Calculate the edge size to the nearest millimeter.
Pyramid height calculation
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.
Cylinder diameter calculation
Calculate the diameter of a cylinder 7.5 dm high with a volume of 0.6 hl. Express the result to the nearest centimeter.
Cube dimensions
The red cube has an edge 0.2 dm smaller than the blue cube. The surface of the blue cube is 294 cm². What are the dimensions of the cubes?
The surface
The surface of a truncated rotating cone with side s = 13 cm is S = 510π cm². Find the radii of the bases when their difference in lengths is 10 cm.
Cube surfce2volume
Calculate the volume of the cube if its surface is 150 cm².
Spherical segment
Calculate the volume of a spherical segment 18 cm high. The diameter of the lower base is 80 cm, and the upper base is 60 cm.
The cube
The cube has a surface area of 216 dm². Calculate: a) the area of one wall, b) edge length, c) cube volume.
Diameter = height
The cylinder's surface, the height of which is equal to the diameter of the base, is 4239 cm square. Calculate the cylinder volume.
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?
Sphere radius calculation
Calculate the radius of a sphere with a volume of 6.2 dm³, round to the nearest centimeter.
Cube edge
The cube has a surface area of 110.6 cm². Calculate the length of its edge.
Length = 3 width
The length of a cuboid is thrice its width. The height and volume of the cuboid measure 4 cm and 300 cubic cm, respectively. What is the length of this cuboid?
Cube weight comparison
The cube weighs 32 kg. How much kg does a cube made of the same material, which has an edge four times shorter, weigh?

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