Question

Find the and volume of a cube whose length of the diagonal is √3cm

Answer 1

Answer:

1.5√1.5 cm^3

Step-by-step explanation:

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Answer 2

AnSwer -:


The volume of a cube is 1 cm^3

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Explanation-:

Volume of cube -:

“V = a x a x a”

V = Volume

A = length of side of a cube.

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Given ,

Diagonal of a cube is √3 cm

To find ,

Volume of a cube

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We know that ,

The length of a diagonal of a cube is

equal to the length of a side of a cube

times square root of three.

Then ,

The length of a side of cube -:

“D = a √3”

A = length of side of a cube

D = Diagonal of a cube = √3 cm

√3 = a √3

a √3 = √3

A = √3 / √3

A = 1

Therefore,

The length of side of cube is 1 cm

Then ,

Volume of cube -:

“V = a x a x a”

V = Volume = ??

A = length of side of a cube = 1 cm

Now ,

1 x 1 x 1

= 1

Hence ,

The volume of a cube is 1 cm^3

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Properties of a cube -:

•It has all its faces in a square shape.

•All the faces or sides have equal

dimensions.

•The plane angles of the cube are the

right angle.

•Each of the faces meets the other four

faces.

•Each of the vertices meets the three

faces and three edges.

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