# Problems of the volume of a cube

#### Number of problems found: 12

• Regular square prism
The volume of a regular square prism is 192 cm3. The size of its base edge and the body height is 1: 3. Calculate the surface of the prism.
• Cube-shaped box
The cube-shaped box is filled to the brim with 2 liters of milk. Calculate the edge and surface of the box.
• Special body
Above each wall of a cube with an edge a = 30 cm, a regular quadrilateral pyramid with a height of 15 cm is constructed. Find the volume of the resulting body.
• Body diagonal
Calculate the cube volume, whose body diagonal size is 75 dm. Draw a picture and highlight the body diagonal.
• Body diagonal
Calculate the volume and surface of the cube if the diagonal body measures ten dm.
• Body diagonal - cube
Calculate the surface and cube volume with body diagonal 15 cm long.
• Three cubes
The body was created by gluing three identical cubes. Its volume is 192 cm3. What is its surface in dm2?
• Cube corners
A small cube with an edge length of 2 cm was cut from each corner of a large cube with an edge length of 10 cm. How many cm3 was the body left from the big cube after cutting the small cubes?
• Body diagonal
The cuboid has a volume of 32 cm3. Its side surface area is double as one of the square bases. What is the length of the body diagonal?
• Cube diagonals
Determine the volume and surface area of the cube if you know the length of the body diagonal u = 216 cm.
• Water level
The glass container has a cuboid shape with dimensions of the bottom 24 cm and 12 cm. The height of the water is 26 cm. Calculate the body's volume, which is sunk into the water if the water level rise by 3 cm.
• Cube corners
From the cube of edge 5 cm, cut off all vertices so that each cutting plane intersects the edges 1 cm from the nearest vertice. How many edges will have this body?

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Body volume - math problems. Cube Problems.