# Longest diagonal of a cube

The length of the body diagonal of a cube can be calculated using the formula, body diagonal of a cube = ?3a. Here, ‘a’ = 8. So, after substituting the value. Therefore, the length of the longest internal diagonal for any cube is equal to the square root of 3 multiplied by the length of a side.A rectangular prism has a volume of 144 and a surface area of 192. If the shortest edge is 3, what is the length of the longest diagonal through the prism?In each dimension, we may compare the length of the side of a cube to the length of its longest diagonal, thus obtaining another significant pattern.The main diagonal of the Cube is the one that cuts through the center of the Cube the diagonal of the Cube’s face is not the main diagonal. The main diagonal.

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## longest diagonal of a cube calculator

Find out the length of the diagonal of a cube using this online Diagonal of a cube calculator for the given values of the edge of cube.Use online Cube Calculator to find the Volume, Surface area and Diagonal of a Cube by just entering the length of side of Cube. Cube calc: find V, S, d.Diagonal of Cube calculator uses Diagonal = sqrt(3)*Side to calculate the Diagonal, The diagonal of cube is a straight line joining two opposite corners of a. The formula that is used to calculate the length of a space or body diagonal of a cube is given as, Length of each body diagonal of a cube = ?3a, where a =. Cube diagonals – face and space  With our cube calculator you can easily find the volume, surface area, face diagonal and space diagonal of a cube. Table.

## formula of diagonal of cube and cuboid

diagonal of cube= (sq.rt of 3 )x (side) · diagonal of cuboid=sq.rt of (l^2+w^2+h^2) · derivative of diagonal of cube= (sq.rt of 3 )x (side) if · =(sq.rt of 3)(1)+(. hou to prove formula. Diagonal of a cuboid = l^2+b^2+h^2. Formula of diagonal of a cuboid is d=?(l^2+b^2+h^2). Where d is the diagonal And l,b,h are it dimensions. Hope that helps.A cuboid is a three-dimensional equivalent of a two-dimensional rectangle. The diagonal that passes through the centre of a cuboid is the main diagonal the. Then, formula to find diagonal of cube = ?3x ?a2+(a?2)2=d2 ?a2+(2a2)=d2 ?3a2=d2 ?d=?3a2.

## surface area of cube diagonal

Cube calculator calculates surface area, side length, diagonal length, and volume with any one known variable. Online calculators and formulas for cube and. First, we must ascertain the length of each side. Based on our initial data, we know that the 6 faces of the cube will have a surface area of 6×2. This yields. Surface area=6a2=6×(6)2=6×36=216cm2. Was this answer helpful? upvote 0. downvote 0. Similar questions star-struck. The length of diagonal of a cube is 152. A cube has 6 square-shaped faces. There are 2 diagonals on each face joining the non-adjacent vertices. Hence, there are 12 face diagonals in a cube. Body. Let the edge odf the cube be a?. length of the diagonal is 3 a=6 ?a=2 ?. lateral surface area of the cube is 4a2=4×(2 )2=4×2=8? · = · 4 · (2 )2 · = · 4 · 2.

## determine the length of diagonal main of a given cube whose sides measure 54.73 cm

Solved Examples. Question 1: Find the diagonal of the cube with the given side 5 cm? Solution: Given: side x =. 5 Find the angle that a main diagonal of a cube makes with the base. (Assume that the cube has sides of length 1 unit.) 6 A pylon is situated at a corner of. Example 2: If the edge of a cube measures 5 cm, find the length of a diagonal. Solution: Side is given as, x = 5 cm. We know that, Diagonal of cube =. RD Anderson · 1961  the unit segment and measuring this length successively to the. suggestion of points located on opposite sides of a given point.Cube calculator calculates surface area, side length, diagonal length, and volume with any one known variable. Online calculators and formulas for cube and.