Question

Find the length of the diagonal of a cube whose each side is 5 cm.​

Answer 1

Step-by-step explanation:

√3a to find diagonal of cube

√3×5

√15 cm

Answer 2

Given Question :-

• Find the length of the diagonal of a cube whose each side is 5 cm.

ANSWER

Given that

• Edge of cube, x = 5 cm.

We know that,

• Diagonal of a cube is given by

$\longmapsto \boxed{ \purple{ \bf \: Diagonal \: = \: \sqrt{3} \times edge}}$

So,

$\rm :\implies\:Diagonal \: = \: 5 \times \sqrt{3}$

$\rm :\implies\:Diagonal = 5 \sqrt{3} \: cm$

Additional Information

Cube: 

• A cube is a three-dimensional shape which is defined XYZ plane. It has six faces, eight vertices and twelve edges. All the faces of the cube are in square shape and have equal dimensions.

Cuboid: 

• A cuboid is also a polyhedron having six faces, eight vertices and twelve edges. The faces of the cuboid are parallel. But not all the faces of a cuboid are equal in dimensions.

Formula's of Cube :-

Total Surface Area = 6(side)²

Curved Surface Area = 4(side)²

Volume of Cube = (side)³

Diagonal of a cube = √3(side)

Perimeter of cube = 12 x side

Formula's of Cuboid

Total Surface area = 2 (Length x Breadth + breadth x height + Length x height)

Curved Surface area = 2 height(length + breadth)

Volume of the cuboid = (length × breadth × height)

lDiagonal of the cuboid =√(l² + b² + h²)

Perimeter of cuboid = 4 (length + breadth + height)