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Say you know the surface area of said cube is 450. cubes have six sides, so you need to find the area of one of them by doing 450/6 = 75. Think about 2d geometry. If you have a rectangle, how do you find it's diagonal? Using the Pythagorean theorem 'a' squared plus 'b' squared equals 'c' squared (keep in mind a + b doesn't equal c). so to get the interior diagonal, you need the diagonal of one of the faces and the length of a side. then re-use pythagorean to get it.
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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
Is the cube diagonal and plane diagonal of a cube the same?
No.
What is the length in inches of a diagonal of a 20 foot cube?
12 inches = 1 foot. 240 inches = 20 feet. Use Pythagoras' theorem to find the diagonal of one of the faces of the cube. 2402+2402 = 115200. The square root of 115200 is 339.411255 Therefore the diagonal of the cube is 339.411255 inches or 339 inches correct to three significant figures Incidentally, by using the above answer and Pythagoras' theorem we can also work out the length of the longest internal diagonal within the cube which works out exactly as 340 inches.
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
How do you find the body diagonal of a cube if you already have the face diagonal?
First square the face diagonal Then multiply the result by 3 Next divide that by 2 And finally take the positive root to get the body diagonal
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
How do you find the length of a diagonal in a cube?
The side of a square is is cube root of 2cm. Find the length of the diagonals.
Is the cube diagonal and plane diagonal of a cube the same?
No.
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.
How do you find the volume of a cube if you know the diagonal?
you don't. you have your teacher do that for you
How do you use a Pythagorean theorem with cube?
You can use pythagorean theorem twice to find the diagonal of a cube
What is the length in inches of a diagonal of a 20 foot cube?
12 inches = 1 foot. 240 inches = 20 feet. Use Pythagoras' theorem to find the diagonal of one of the faces of the cube. 2402+2402 = 115200. The square root of 115200 is 339.411255 Therefore the diagonal of the cube is 339.411255 inches or 339 inches correct to three significant figures Incidentally, by using the above answer and Pythagoras' theorem we can also work out the length of the longest internal diagonal within the cube which works out exactly as 340 inches.
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 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
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 do you find the body diagonal of a cube if you already have the face diagonal?
First square the face diagonal Then multiply the result by 3 Next divide that by 2 And finally take the positive root to get the body diagonal
