Question

lateral surface area of a cube is 1764 sq cm. find the height of the cube​

Answer 1

Lateral surface area of a cube = 4 L^2
Given : LSA = 1764 sq cm
Therefore, 1764 = 4 L^2
1764/4 = L^2
441 = L^2
441 = 21^2
Square root of 441 = 21 = L
In a cube, length = breadth = height.
Therefore, height of cube = 21 cm

Answer 2

Answer:

The height of the cube is 21cm

Step-by-step explanation:

Given :

• L. S. A. (lateral surface area) of a cube is 1764cm²

To find :

• It's height.

Solution :

We know that,

➙ L. S. A. of a cube = 4a²

• a is the each side of the cube.
• L. S. A. (Lateral surface area) = 1764cm² (given)

So, from the given values :

→ 1764 = 4a²

→ 1764/4 = a²

→ 441 = a²

→ √441 = a

→ 21 = a

Or, a = 21cm.

∴ The height of the cube is 21cm.