# Body volume + expression of a variable from the formula - math problems

#### Number of problems found: 213

• Cuboid diagonals
The cuboid has dimensions of 15, 20 and 40 cm. Calculate its volume and surface, the length of the body diagonal and the lengths of all three wall diagonals.
Calculate the volume (V) and the surface (S) of a regular quadrilateral prism whose height is 28.6 cm and the deviation of the body diagonal from the base plane is 50°.
• Ratio of edges
The dimensions of the cuboid are in a ratio 3: 1: 2. The body diagonal has a length of 28 cm. Find the volume of a cuboid.
• Cylinder twice
If the radius of the cylinder increases twice, and the height is reduced twice, then the volume of the cylinder increases (how many times?):
Given is a regular quadrangular pyramid with a square base. The body height is 30 cm and volume V = 1000 cm³. Calculate its side a and its surface area.
• The cube
The cube has a surface of 600 cm2, what is its volume?
• Cube diagonals
Calculate the length of the side and the diagonals of the cube with a volume of 27 cm3.
The height of a regular quadrilateral prism is v = 10 cm, the deviation of the body diagonal from the base is 60°. Determine the length of the base edges, the surface, and the volume of the prism.
• Cone - from volume surface area
The volume of the rotating cone is 1,018.87 dm3, its height is 120 cm. What is the surface area of the cone?
• Tank diameter
A cylindrical tank has a volume of 60 hectoliters and is 2.5 meters deep. Calculate the tank diameter.
• Cuboid enlargement
By how many percent increases the volume of cuboid if its every dimension increases by 30%?
• The edge of a cube
How much does the edge of a cube of 54.9 cm3 measure?
• Cube V2S
The volume of the cube is 27 dm cubic. Calculate the surface of the cube.
• The cylinder
The cylinder has a surface area of 300 square meters, while the height of the cylinder is 12 m. Calculate the volume of this cylinder.
• Axial cut
The cone surface is 388.84 cm2, the axial cut is an equilateral triangle. Find the cone volume.
• Hemisphere cut
Calculate the volume of the spherical layer that remains from the hemisphere after the 3 cm section is cut. The height of the hemisphere is 10 cm.
• Edges or sides
Calculate the cube volume, if the sum of the lengths of all sides is 276 cm.
• Body diagonal
Calculate the volume of a cuboid whose body diagonal u is equal to 6.1 cm. Rectangular base has dimensions of 3.2 cm and 2.4 cm
• Cube walls
Find the volume and the surface area of the cube if the area of one of its walls is 40 cm2.
• Sphere A2V
The surface of the sphere is 241 mm2. What is its volume?

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