Question

Find the lateral surface area of a cube if its diagonal square root 6 Cm.​

Answer 1

Lateral surface area of cube =4×sides²

=4×(6×6)

=4×39

=156cm²

Answer 2

Correct Question :

Find the lateral surface area of a cube if its diagonal √6 cm.

Answer :

The lateral surface area of cube is 8cm²

Step-by-step explanation :

To Find,

• The lateral surface area of cube

Solution,

Given that,

• The diagonal of cube = √6 cm

To get the lateral surface area of cube, we need to first find out the side of cube,

As we know that,

DIAGONAL OF CUBE = a√3

Where,

• a = side of cube.

∴ The side of cube is

➠ a√3 = Diagonal

➠ a√3 = √6

➠ a = √6/3

➠ a = √2

∴ Th side of cube is √2 cm.

∴ The lateral surface area is,

As we know that,

LATERAL SURFACE AREA OF CUBE = 4(a)²,

Where,

• a = side of cube

➠ 4 × ( √2 )²

➠ 4 × 2

➠ 8

∴ The lateral surface area of cube is 8cm.

More Information

[ Topic = Cube ]

• Volume = a³ cubic units.
• Diagonal = a√3 units.
• Total surface area = 6(a)² square units.
• Lateral surface area = 4(a)² square units.