Cube from sphere
What largest surface area (in cm2) can have a cube that we cut out of a sphere with a radius 26 cm?
Correct answer:
Showing 1 comment:
Math student
Nice puzzle. It took me a moment to realise my mistake and use 3D Pythagoras so I guess a hint might be helpful to others.
Tips for related online calculators
The Pythagorean theorem is the base for the right triangle calculator.
You need to know the following knowledge to solve this word math problem:
Related math problems and questions:
- Octahedron in a cube
What largest octahedron can we place inside a cubical box with sides equal to 72? - Surface and volume - cube
Find the surface and volume of a cube whose wall diagonal is 5 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. - Cube in sphere
The cube is inscribed in a sphere with a radius r = 6 cm. What percentage is the cube's volume from the ball's volume? - Angle of the body diagonals
Using the vector dot product calculate the angle of the body diagonals of the cube. - 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 volume of the cube. - Tangent spheres
A sphere with a radius of 1 m is placed in the corner of the room. What is the largest sphere size that fits into the corner behind it? Additional info: Two spheres are placed in the corner of a room. The spheres are each tangent to the walls and floor an - Cube diagonals
Calculate the length of the side and the diagonals of the cube with a volume of 27 cm³. - Body diagonal
Calculate the cube volume, whose body diagonal size is 75 dm. Draw a picture and highlight the body diagonally. - Cube diagonals
The cube has a wall area of 81 cm square. Calculate the length of its edge, wall, and body diagonal. - Body diagonal
Calculate the volume and surface of the cube if the diagonal body measures ten dm. - Cube cut
The cube ABCDA'B'C'D ' has an edge of 12cm. Calculate the area of diagonal cut B DD'B '. - Body diagonal - cube
Calculate the surface and cube volume with a body diagonal 15 cm long. - Body diagonal
Calculate the length of the body diagonal of the 6cm cube. - Calculate
Calculate the length of the wall diagonal of the cube with an edge 5 cm long. - Cube wall
The perimeter of one cube wall is 120 meters. Calculate the surface area and the body diagonal of this cube.