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?
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?
Calculate the dimensions of rotating cylindrical containers with volume 2 l if the container's height is equal to the base's diameter.
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 the surface of the cube if its volume is 64 cm ^ 3.
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.
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