Question

if the total surface area of cube is 2400 m find the length of each edge​

Answer 1

Answer:

Length of each edge = 20m

Step-by-step explanation:

As we know,

surface area of a cube = 6l^2

Therefore, (2400)m^2 =(6l^2)m

L = √(2400/6)

L = √400

L= 20m

Hence length of the cube = 20m

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Answer 2

Given :-

Total Surface Area = 2400 m²

To find :-

The length of each side.

Solution :-

$Total \: Surface \: Area = 6 × (side)² \\ \\ = > 2400 m² = 6 × (side)² \\ \\ = > (side)² = \frac{2400 \: {m}^{2} }{6} \\ \\ = > (side)² = 400 {m}^{2} \\ \\ = > side = \sqrt{400 {m}^{2}} \\ \\ = > side =20m$

Verifying it :-

If on finding the total surface area of the cube with side 20 m is equal to 2400 m². Then, the calculated side is correct.

$Total \: Surface \: Area = 6 × (side)² \\ \\ = 6 \times {(20 \: m)}^{2} \\ = 6 \times 400 \: {m}^{2} \\ = 2400 \: {m}^{2}$

Answer :-

The length of the side of the cube is 20 m².