# Practice problems of the cube

#### Number of problems found: 260

- Equilateral cylinder

Find the radius and height (in centimeters) of an equilateral cylinder with a volume of 1 liter . - Angle of the body diagonals

Using vector dot product calculate the angle of the body diagonals of the cube. - Cube 5

The content area of one cube wall is 32 square centimeters. Determine the length of its edges, its surface and volume. - Cube walls

Find the volume and surface area of the cube if the area of one wall is 40cm². - Cube - wall

V kocke ABCDEFGH je |CF|=4 √ 2. Aký je povrch kocky? - The body

The body on the figure consists of cubes with an edge length 10 cm. What surface has this body? - Prism

Three cubes are glued into a prism. The sum of the lengths of all its edges is 115 cm. What is the length of one edge of the original cube? - Cylinder

Calculate the dimensions of rotating cylindrical containers with volume 2 l if the container's height is equal to the base's diameter. - 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? - Surface and volume - cube

Find the surface and volume of a cube whose wall diagonal is 5 cm long. - 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? - Inscribed circle

A circle is inscribed at the bottom wall of the cube with an edge (a = 1). What is the radius of the spherical surface that contains this circle and one of the vertex of the top cube base? - Space diagonal

The space diagonal of a cube is 129.91 mm. Find the lateral area, surface area and the volume of the cube. - Calculate

Calculate the surface of the cube if its volume is 64 cm ^ 3. - Calculate

Calculate the length of the wall diagonal of the cube with an edge 5 cm long. - Concrete pedestal

The carpenters made wooden mold on a concrete pedestal in the shape of a cube with an edge 2 meters long. What is the area in which the concrete touches wooden molds? (No lid or bottom) - Content area and percents

Determine what percentage is smaller cube surface, when the surface area of the wall decreases by 25%. - Surface area of cylinder

Determine the lateral surface of the rotary cylinder which is circumscribed cube with edge length 5 cm. - Cube

Calculate the surface of the cube ABCDA'B'C'D' if the area of rectangle ACC'A' = 344 mm². - 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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