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:
solid geometryplanimetricsGrade of the word problem
Related math problems and questions:
- Spherical cap
Place a part of the sphere on a 4.6 cm cylinder so that the surface of this section is 20 cm². Determine the radius r of the sphere from which we cut the spherical cap. - Everywhere 36403
We cut out the largest possible round tablecloth from a square fabric of 150x150 cm. After setting, it hung around 20 cm everywhere. What is the area of the round tabletop? - Percentage 3481
We turned a sphere with the largest possible radius from a cube with an edge length of 8 cm. Calculate the volume of the cube, the ball, and the percentage of waste when turning. - Eight
Eight small Christmas balls with a radius of 1 cm have the same volume as one large Christmas ball. What has a bigger surface: eight small balls or one big ball?
- The largest
We cut the largest possible cylinder from a 20 cm cube. What is the volume of this cylinder? - Inscribed cube
A cube is inscribed in a sphere with a radius of 27 cm. Calculate its volume and surface area. - A spherical segment
The aspherical section, whose axial section has an angle of j = 120° in the center of the sphere, is part of a sphere with a radius r = 10 cm. Calculate the cut surface.
