Question

If a largest possible cube in a hemisphere of radius a unit . Find edge of a cube?

Answer 1

Biggest Cuboid in a Sphere

Date: 03/20/2003 at 07:35:21 From: Mitsy Subject: What is the biggest cuboid which fits inside a sphere r=10cm I have a sphere with radius of 10cm. I have to find the biggest cuboid that fits in that sphere. I don't know how I can relate the width, the length and the height of the cuboid. I can find the length and the height, but I don't know how to find the width. For my length and height of the cuboid in the sphere, I drew a cross- sectional diagram of a cuboid in a sphere. It looks like a square in a circle. The diametre of the circle (the sphere) is equivalent to the diagonal of the square (the cuboid) in the diagram, so I could use the Pythagorean theorem to find the length and the height. The sum of the squares of length and height must not go over 400, as the diametre of the sphere is 20, and the square of 20 is 400. But then, there is a problem. Even if I tried different lengths and heights, I would still have no idea of what sort of width the cuboid would have. Is there a formula that could help me to find the width of the cuboid, without knowing the volume, but knowing the length and the height? Is there a formula that relates the length, height and width of a cuboid, without the need to know the volume or the cuboid? Mitsy





pls mark as brainlist answer