The volume of cube problems - page 17 of 18
Number of problems found: 360
- Two boxes-cubes
Two boxes of a cube with edges a=28 cm and b = 92 cm are to be replaced by one cube-shaped box (same overall volume). How long will its edge be?
- Equilateral cylinder
The equilateral cylinder (height = base diameter; h = 2r) has a V = 272 cm³ volume. Calculate the surface area of the cylinder.
- 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?
- Hollow sphere
The hollow steel sphere floats on the water, plunged into half its volume. Determine the outer radius of the sphere and wall thickness if you know that the weight of the sphere is 0.5 kg and the density of steel is 7850 kg/m³
- Volume from surface area
What is the volume of the cube whose surface area is 96 cm²?
- Water level
The glass container has a cuboid shape, with dimensions at the bottom of 24 cm and 12 cm. The height of the water is 22 cm. Calculate the body's volume sunk into the water if the water level rises by 3 cm.
- Cube basics
How long is the edge length of a cube with volume 1 m³?
- Chemical parison
The blown parison (with the shape of a sphere) has a volume of 1.5 liters. What is its surface?
- Cuboid
Find the cuboid that has the same surface area as the volume.
- Cylinder - area
The diameter of the cylinder is one-third the length of the height of the cylinder. Calculate the surface of the cylinder if its volume is 2 m³.
- Surface of the cylinder
Calculate the cylinder's surface area when its volume is 45 l, and the base's perimeter is three times the height.
- Iron sphere
Iron sphere weights 100 kg and density ρ = 7600 kg/m³. Calculate the volume, surface, and diameter of the sphere.
- 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?
- Center of the cube
The Center of the cube has a distance 16 cm from each vertex. Calculate the volume V and surface area S of the cube.
- Balls
Three metal balls with volumes V1=81 cm3, V2=96 cm3, and V3=28 cm³ were melted into one ball. Determine its surface area.
- Rotary cone
The volume of the rotation of the cone is 967 cm³. The angle between the side of the cone and the base angle is 70°. Calculate the lateral surface area of this cone.
- Tereza
The cube has an area of base 144 mm². Calculate the edge length, volume, and area of its surface.
- Prism
A right-angled prism, whose base is a right triangle with leg a = 3 cm and hypotenuse c = 6 cm, has the same volume as a cube with an edge length of 1 dm. a) Find the height of the prism b) Calculate the surface of the prism c) What percentage of the cube
- Rotary cone
A rotary cone whose height is equal to the circumference of the base has a volume 229 cm³. Calculate the radius of the base circle and the height of the cone.
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