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If each cube side is of length s, then the diagonal of the BASE is from Pythagorean theorem
sqrt ( s^2 + s^2) = sqrt (2) times s = 1.414s
The height of the cube is s, so we use the theorem again using the base diagonal and height to get the cube diagonal:
sqrt( (1.414s)^2 + s^2) = sqrt (3s^2) = sqrt(3) times s = 1.732s
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What is the name of the longest diagonal of the cube?
The principal diagonal.
Whats the edge length of a cube with a diagonal of 9ft?
The edge length of a cube with a diagonal of 9 ft is: 5.196 feet.
What is the shape of the cross section of a cube if the cut is made across the diagonal of the cube?
Rectangle
How do you use a Pythagorean theorem with cube?
You can use pythagorean theorem twice to find the diagonal of a cube
If the volume of a cube is 125 find the length of one of the face diagonals of the cube?
find the cube root of 125(which is 5) is the length of one side do Pythagorean theorem to find the diagonal 5squared plus 5 squared=50 square root of 50=7.07106781 is diagonal
Is the cube diagonal and plane diagonal of a cube the same?
No.
How do you compute the volume?
cube
What is the longest diagonal in a 6cm cube?
The longest diagonal of a 6 cm cube is: 10.39 cm
What is the name of the longest diagonal of the cube?
The principal diagonal.
How can I figure the dimensions of a perfect cube if the hypotenuse through the center of the cube is 35cm?
Somehow I messed up andused 31 instead of 35 That is why you are receiving an improvement Do a Google search for Diagonal of a cube Find this website. mathcentral.uregina.ca/QQ/database/QQ.09.04/brett1.HTML - Draw a cube You will see how to find the diagonal of a cube. You use Pythagorean Theorem Draw a cube Label each side as s Draw the diagonal of the base of the cube Diagonal of base = (s^2 + s^2 )^0.5 Let the diagonal of the base be the horizontal side of the right triangle whose hypotenuse is the diagonal of the cube. The height of the cube is the vertical side of the right triangle whose hypotenuse is the diagonal of the cube. Now determine the length of the diagonal of the cube. (diagonal of base)^2 + (height of cube)^2 = (diagonal of cube )^2 Diagonal of base = (s^2 + s^2 )^0.5….Height of cube = s Use Pythagorean Theorem (diagonal of cube )^2 = (diagonal of base)^2 + (height of cube)^2 (diagonal of base)^2 = [(s^2 + s^2 )^0.5]^2 = s^2 + s^2 height of cube)^2 = s^2 (diagonal of cube)^2 = (s^2 + s^2 + s^2) (diagonal of cube )^2 = (3 * s^2) diagonal of cube = (3 * s^2)^0.5 = 35 (3 * s^2)^0.5 = 35 Square both sides 3s^2 = 31^2 = 1225 s^2 = 408.33 s = 40833^0.5 s = 20.2 cm
If a diagonal of a cube is known how to find the volume of the cube?
If the diagonal is d thenV = [d/sqrt(3)]^3
Whats the edge length of a cube with a diagonal of 9ft?
The edge length of a cube with a diagonal of 9 ft is: 5.196 feet.
How do you find the edge of a cube if the measure of the diagonal is given?
The longest diagonal in a cube is equal to the length of the edge, multiplied by the square root of 3.
Surface area of cube is 150 sq cmwhat is the length of its diagonal?
The diagonal will be 8.66 cm
What is the shape of the cross section of a cube if the cut is made across the diagonal of the cube?
Rectangle
What are the two thing that are compute when configuring a load?
weight and cube
What is the diagonal of a cube that has an edge of 4?
6.928 (rounded)
