Question

If the total surface are of a cube is 2400 cm2 then. Find its lateral surface area

Answer 1

Answer:1600cm^2

Step-by-step explanation:

Sum of area of 6 side=2400

Area of 1side = 400

We know, Lateral surface area of cube= 4 sides

=4*400

=1600cm^2

Answer 2

Lateral Surface Area Of The Cube = 1600 cm^2

Given:

Total surface area of the cube = 2400 cm^2

To Find:

Lateral Surface Area Of The Cube

Calculating:

Formula used to calculate the total surface area of a cube:

= 6a^2

According to the question:

=> 6a^2 = 2400

=> a^2 = 2400 / 6

=> a^2 = 400

=> a = $\sqrt{400}$ = 20 cm

Therefore, measurement of one side of the cube is 20 cm.

The formula that is used to calculate the lateral surface of cube:

= 4a^2

Substituting the values into this formula we get:

= 4 x 20 x 20

= 80 x 20

= 1600 cm^2

Therefore, the lateral surface of the cube is 1600 cm^2.