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If a diagonal of a cube is known how to find the volume of the cube?
Wiki User
∙ 15y ago
If the diagonal is d thenV = [d/sqrt(3)]^3
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∙ 7y ago
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How do you find the volume of a cubical box when diagonal is given?
Cool question ! Answer - half it then cube it to prove it - an example for you if cube diagonal (not square diagonal) is 100, then using pythagoras theorm the square diagonal = 70.71068, If square the square diagonal = 70.71068, then using pythagoras theorm the side length = 50 therefore the volume = 50 ^ 3 = 25000 units works with any numbers
What is the procedure to calculate the edge of a cube of volume 1728 cubic meters?
The volume of a cube is found by cubing the length of an edge. To find the measure of an edge of a cube of a known volume, simply find the cube root of the volume. In this case, the cube root of 1728 is 12. It's actually plus or minus 12, but we drop the minus 12 because shapes can have negative dimensions. Given a cube of known volume, the length of an edge can be found by finding the cube root of the cube's volume.
Find the volume and total area of the largest cube of wood that can be cut out from a log of circular cross section whose radius is 12.7 in?
To get the largest cube of wood, you would want to cut it out so that the long diagonal is the diameter of the log: 25.4" For a cube of side length s, the diagonal is s√3, so to find the side given the diagonal, we need to divide by √3 25.4 / 1.732 = 14.664" This is one side of the cube, so the volume is 3153.69 cubic inches. ◄ As for total area, I am not sure what that is asking for. If it is surface area, 87.988 in² is the answer. ■
How to find side of a cube if the volume is given?
Find the cube root of the volume. Volume of a cube = length of side^3 therefore length of side = volume^(1/3)
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 volume of a cube if you know the diagonal?
you don't. you have your teacher do that for you
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
How do you find the volume of a cubical box when diagonal is given?
Cool question ! Answer - half it then cube it to prove it - an example for you if cube diagonal (not square diagonal) is 100, then using pythagoras theorm the square diagonal = 70.71068, If square the square diagonal = 70.71068, then using pythagoras theorm the side length = 50 therefore the volume = 50 ^ 3 = 25000 units works with any numbers
What is the procedure to calculate the edge of a cube of volume 1728 cubic meters?
The volume of a cube is found by cubing the length of an edge. To find the measure of an edge of a cube of a known volume, simply find the cube root of the volume. In this case, the cube root of 1728 is 12. It's actually plus or minus 12, but we drop the minus 12 because shapes can have negative dimensions. Given a cube of known volume, the length of an edge can be found by finding the cube root of the cube's volume.
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.
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.
Find the volume and total area of the largest cube of wood that can be cut out from a log of circular cross section whose radius is 12.7 in?
To get the largest cube of wood, you would want to cut it out so that the long diagonal is the diameter of the log: 25.4" For a cube of side length s, the diagonal is s√3, so to find the side given the diagonal, we need to divide by √3 25.4 / 1.732 = 14.664" This is one side of the cube, so the volume is 3153.69 cubic inches. ◄ As for total area, I am not sure what that is asking for. If it is surface area, 87.988 in² is the answer. ■
How do you use a Pythagorean theorem with cube?
You can use pythagorean theorem twice to find the diagonal of a cube
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 to find side of a cube if the volume is given?
Find the cube root of the volume. Volume of a cube = length of side^3 therefore length of side = volume^(1/3)
Find the lengths of cube when you know the volume?
Take the cube root of the volume.
If 9 cubic blocks with a side length of 13 inch are needed to find the of a cube what is the of the cube?
Assuming the missing words are "to find the VOLUME of a cube" and "what is the VOLUME", the volume of the cube is 19773 cubic inches.
