Question

If lateral surface area of a cube is 1600 cm, then its edge =​

Answer 1

Answer:

LSA of cube = 1600 cm²

⇒4a² = 1600

⇒ a² = 1600/4=400

⇒ a = √400 = 20m

so its edge is 20m

Step-by-step explanation:

Answer 2

Answer:

The edge of the cube is 20 cm.

Step-by-step explanation:

Given,

The lateral surface area of a cube(LSA) = 1600 cm^{2}cm

2

Let the edge of the cube = a

To find, the edge of the cube = ?

We know that,

The lateral surface area of a cube(LSA) =4a^{2}4a 2

⇒4a^2=16004a

2

=1600

⇒ a^2=\dfrac{1600}{4}=400a

2

=

4

1600

=400

⇒ a^2=20^{2}a

2

=20

2

⇒ a = 20 cm

The edge of the cube = 20 cm

Hence, the edge of the cube is 20 cm