# Problems of the volume of a cube

#### Number of problems found: 162

• Space diagonal The space diagonal of a cube is 129.91 mm. Find the lateral area, surface area and the volume of the cube.
• Cube diagonals Determine the volume and surface area of the cube if you know the length of the body diagonal u = 216 cm.
• Cube cut In the ABCDA'B'C'D'cube, it is guided by the edge of the CC' a plane witch dividing the cube into two perpendicular four-sided and triangular prisms, whose volumes are 3:2. Determine in which ratio the edge AB is divided by this plane.
• 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?
• Tower Charles built a tower of cubes with an edge 2 cm long. In the lowest layer there were 6 cubes (in one row) in six rows, in each subsequent layer always 1 cube and one row less. What volume in cm3 did the whole tower have?
• Body diagonal - cube Calculate the surface and cube volume with body diagonal 15 cm long.
• Truncated cone 6 Calculate the volume of the truncated cone whose bases consist of an inscribed circle and a circle circumscribed to the opposite sides of the cube with the edge length a=1.
• Tereza The cube has an area of base 256 mm2. Calculate the edge length, volume, and area of its surface.
• 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.
• Body diagonal Calculate the cube volume, whose body diagonal size is 75 dm. Draw a picture and highlight the body diagonal.
• Surface and volume - cube Find the surface and volume of a cube whose wall diagonal is 5 cm long.
• Cube walls Find the volume and surface area of the cube if the area of one wall is 40cm2.
• Cube in sphere The cube is inscribed in a sphere with a radius r = 6 cm. What percentage is the volume of the cube from the volume of the ball?
• Cube into cylinder If we dip a wooden cube into a barrel with a 40cm radius, the water will rise 10 cm. What is the size of the cube edge?
• Rectangle pool Find dimensions of an open pool with a square bottom with a capacity of 32 m3 to have painted/bricked walls with the least amount of material.
• Cube 5 The content area of one cube wall is 32 square centimeters. Determine the length of its edges, its surface and volume.
• Body diagonal Calculate the volume and surface of the cube if the diagonal body measures ten dm.
• Calculate Calculate the surface of the cube if its volume is 64 cm ^ 3.
• Cube diagonals Calculate the length of the side and the diagonals of the cube with a volume of 27 cm3.
• The cube The surface of the cube is 150 square centimeters. Calculate: a- the content of its walls b - the length of its edges c - its volume

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