How do you find the diagonal length of a rectangular box?
Table of Contents
- 1 How do you find the diagonal length of a rectangular box?
- 2 What is the maximum possible volume of a rectangular box that can be inscribed in the unit sphere?
- 3 How do you find the maximum volume of a rectangular box with the surface area?
- 4 What is the volume of a box?
- 5 How many diagonals are in a rectangle?
- 6 Is the diagonal of a rectangle equal to its length?
How do you find the diagonal length of a rectangular box?
You can use the Pythagorean theorem to estimate the diagonal of a rectangle, which can be expressed with the following formula: d² = l² + w² , and now you should know how to find the diagonal of a rectangle explicit formula – just take a square root: d = √(l² + w²) .
What is the maximum possible volume of a rectangular box that can be inscribed in the unit sphere?
8r3/3√3
Hence, the maximal volume of a rectangular box inside the sphere is 8r3/3√3.
What is the formula to find diagonal?
The formula to find the number of diagonals is n(n – 3)/2, where n is the number of sides the polygon has. If l, b and h denote the length, breadth and height respectively of the cuboid then the length of its diagonal d is given by the formula d = √(l^2+b^2+h^2).
How do you find the maximum volume of a rectangular box with the surface area?
For a closed rectangular box with a total surface area of 64 square units, the maximum volume will be contained in a cube. Each of the six square faces will have an area of 64/6 square units and the side length will be the square root of the area, (4*6^0.5)/3. Cube that to get the volume.
What is the volume of a box?
To find the volume of a box, simply multiply length, width, and height — and you’re good to go! For example, if a box is 5×7×2 cm, then the volume of a box is 70 cubic centimeters.
What is the diagonal of a rectangular?
You can find the diagonal of a rectangle if you have the width and the height. The diagonal equals the square root of the width squared plus the height squared.
How many diagonals are in a rectangle?
two diagonals
Rectangles have two diagonals that connect two opposite vertices. They are the same size.
Is the diagonal of a rectangle equal to its length?
A rectangle has two diagonals. Each one is a line segment drawn between the opposite vertices (corners) of the rectangle. The diagonals have the following properties: The two diagonals are congruent (same length).